Here are 3 brief bullet points demonstrating how original Scripture-focused Mormonism is it odds with the Traditions of the Brighamite sect and Brethrenism:
The Lectures on Faith were the original Doctrine portion of what the Brighamite sect calls The Doctrine and Covenants. In other words, Brighamite leaders removed scripture from scripture by removing the Doctrine portion of the original Doctrine and Covenants. This short video by Uncorrelated Mormonism explains the history of this removal. As far as the video's discussion of D&C 130 and the Godhead and how the fifth Lecture can be harmonized with the later teachings on the Godhead in the Nauvoo era, see the excellent slideshare Metaphysics: LDS Cosmology 2, Module 2: Differentiating Holy Ghost & Holy Spirit.
This demonstrates that the original process of forming Scripture by common consent and adhering to said scripture formed by Joseph Smith was not fully respected by the later formed Brighamite sect. While I do not belong to nor support everything taught by the Remnant Fellowship, they have formed their own version of LDS Scripture; and retained the original Lectures on Faith in their publication titled: Teachings & Commandments (Restoration Edition).
The Word of Wisdom revelation says clearly in D&C 89:2, that the health advice therein was "not by commandment or constraint," but was only a word of wise advice or "word of wisdom …" Joseph Smith drank wine just before he died. Yet when the later Brighamite leaders became influenced by the temperance movement they decided to contradict original Scripture and ban all forms of alcohol use from the sacrament and for use in moderation if one so chose. I personally do not drink alcohol so this is not a personal thing for me but it does prove that the original Scripture did not command nor constrain Mormons to avoid any form of alcohol or coffee. So the Brighmite leaders have imposed their own culture-induced man-made traditions, their own Tradition of the Elders onto the Body of Christ which should have the freedom to choose for themselves without risking their membership or ability to attend the temple.
In their book, The Apostasy of the LDS Church was Prophesied, But the End is Not Yet: A Letter to Our Family and Other Believers in the Restoration Through Joseph Smith, authors
Nelson Whiting and Lacey Whiting write on pages 67-69:
… every scriptural usage of sacrament uses wine (D&C 20:29; Moroni 5:2; 3 Nephi 18:8). Doing more or less for this ordinance constitutes building upon a foundation other than Christ (3 Nephi 18:11-13). The Church has never received a revelation to replace wine with water. D&C 27 is used to justify a removal of wine for the sacrament. However, the revelation from the angel to avoid purchasing wine from enemies as it could be poisonous, does not say to use water instead of wine. Further, immediately after Joseph received this revelation we read in the Church history the following:
“In obedience to the above commandment, we prepared some wine of our own making, and held our meeting, consisting only of five, viz., Newel Knight and his wife, myself and my wife, and John Whitmer. We partook together of the Sacrament, after which we confirmed these two sisters into the Church, and spent the evening in a glorious manner. The Spirit of the Lord was poured out upon us, we praised the Lord God, and rejoiced exceedingly" (HC 1:108).
Three years later the Lord gave the Church the “word of wisdom” to remind us that wine should be used for sacrament:
“That inasmuch as any man drinketh wine or strong drink among you, behold it is not good, neither meet in the sight of your Father, only in assembling yourselves together to offer up your sacraments before him. And, behold, this should be wine, yea, pure wine of the grapes of the vine, of your own make. (D&C 89:5-6 Feb. 27, 1833)
So while our Savior used his priesthood to turn water into wine, the Brethren use their priesthood to turn wine back into water!
… Christ was accused of being a wine bibber, he turned water to wine. He drank alcoholic wine at the Last Supper for Passover in April. It could not have been grape juice because they did not practice pasteurization or refrigeration of their wine at the time, which meant their crop from the previous harvest (6 months earlier) would have necessarily been fermented and thus alcoholic. Drunkenness is not a good thing anywhere in the scriptures, but wine that maketh a joyful heart is, and it is the commandment. You can't crush grapes and get grape juice naturally. It immediately starts fermenting and turning alcoholic. Through our modern processes we've learned to reverse that, but it is not what Christ wanted when He commanded that we drink wine for sacrament (3 Nephi 18). So, ironically, as we take the sacrament and covenant to “keep his commandments,” we are in that moment breaking his commandment to use wine for this sacred ordinance. Ordinances cannot be changed. D&C 58:8 also reiterates that it must be alcoholic wine because of the "wine on the lees well refined" phrase which means the lees (dead yeast) has settled at the bottom and signals the completion of the fermentation process.
The early Brethren partook of wine for sacrament well into the early 1900’s, until Heber J. Grant stopped the practice. …
[Note: the Brethren gave instructions for the Saints to stop partaking of wine in local congregations, yet they continued for years to partake of wine in their weekly meetings in the temple. This is akin to the Catholic Church ceasing to offer wine to the members, but reserved it separately for the priests to take before Mass].
Thus again we see a removal of the original meaning of Scripture, which clearly allowed for the use of wine in the sacrament.
The original revelations and temple ritual in Nauvoo was clearly meant to liberate Mormons from puritanical Augustinian oppression and the sectarian dogma of a god "without parts and passions," which led to a "despising of the body" among the Protestant converts to Mormonism. As I have documented in The Secret Doctrine of God: Moving Toward A Theology of the Body, original Mormonism was a liberating theology and the original intention of the Nauvoo Temple ritual was the sealings of plural marriages on an altar: symbolizing the intent to expiate Augustinianism from their consciousness so they would no longer despise their body and worship a god without parts and passions; but see that God has a body of flesh and bones and sensual joy and happiness is the object and design of our existence. Brighamite Church’s leaders, beginning in the 1900s have rejected the original ritual intent of the temple and the teachings of Nauvoo through the Smith-Pratt Paradigm and have instead added their own man-made puritanical traditions: like married couples should not to engage in oral sex and garments must be worn all the time to be "worthy" to re-enter the temple (none of this can be found in Scripture as the revelations and commandments).
So again, we have the original Mormon Scriptures in the Nauvoo era presenting a pro-body sensual theology of a God of parts and passions whom we are to imitate and learn how to be sensual gods ourselves; while modern day Brighamite Church Presidents and Apostles have turned around and contradicted the original Smith-Pratt Teachings with the inventions produced through the Brigham-McConkie Lens; that have distorted the origional Smith-Pratt Lens. For example, original Mormonism presented a positive affirmation of sensuality as we see in Pratt's 1844 "Letter to Queen Victoria". Just compare that body affirming document by Pratt to the Augustinian mindset, misinformation, and shaming teachings in Boyd K. Packer's "My Little Factory" and The Miracle of Forgiveness by Spencer W. Kimball.
So we see that the Brighamite leaders removed the original doctrine bound in scripture (called the Lectures on Faith) and reinterpreted the original meaning of the Scriptures on the Word of Wisdom and the use of wine in the sacrament, and turned against the Smith-Pratt theology by turning to the puritanical culture of the West during the 1900s and began to imitate Protestant Purity Culture: leading to the systematic shaming of LDS members through the invention of the Worthy versus Unworthy demarcation as a man-made grace-denying Purity System, mimicing the Pharasaical System Jesus opposed; with their invention of so-called "Worthiness interviews" emphasizing self-merited perfectionism (at odds with 2 Nephi 31:19 and Moroni 6:4) while acting as "gatekeepers" to the Lord (which goes against 2 Nephi 9:41): causing unhealthy perfectionism and scrupulosity in susceptible members. None of these Traditions of the Brighamite Elders can be found in the Scriptures and in fact contradict original Mormon Scripture.
These are just three short bullet points, but they're powerful evidence of how the Brighamite sect (and Brethrenism) is at odds with origional Mormon Scripture and the Smith-Pratt Paradigm; as blind obedience to the Traditions of the Brethren has led to Brighamite members (as a collective body) allowing for the Brethren to remove scripture, clearly misinterprete scripture, and go against the original concept of God taught by Joseph Smith: which was a God that does not despise the body or shame sensuality among consenting adults. So these three bullet points clearly demonstrate the problem in the Brighamite sect and their dismissal of scripture and removal of scripture and abandoning the original liberating Theology of the Body in scripture.