I'm not surprised that you would stoop to such a childish guilt by association ploy.
It's not childish. Both churches are guilty of teaching salvation by faith AND WORKS in contradiction to scripture (
Romans 3:24-26;
4:2-6;
5:1;
11:6;
Ephesians 2:8,
9;
Titus 3:5;
2 Timothy 1:9) which is critical and is a "different" gospel.
Most denominations share common beliefs on many issues, this is to be expected.
Most do not share common beliefs on the issue of salvation. Most churches teach salvation by faith AND WORKS, including Roman Catholicism, Mormonism and Campbellism.
An example of such is the many LGBTQ+ affirming denominations that share faith alone regeneration theology with the numerous local independent community churches today. It would be wrong to suggest that any church that supports faith alone regeneration theology also supports the LGBTQ+ movement. That would just be silly...right?
I'm yet to attend or even visit a genuine Christian church that teaches salvation by grace through faith in Jesus Christ alone and also supports the LGBTQ movement, but I did previously attend the Roman Catholic church and the church of Christ, and they both teach salvation by faith AND WORKS.

I have run across churches that "claim" to teach salvation through faith in Jesus Christ alone but it was with a twist.
1 Corinthians 6:9 - Do you not know that the
unrighteous will not inherit the kingdom of God? Do not be deceived. Neither fornicators, nor idolaters, nor adulterers,
nor homosexuals, nor sodomites, 10 nor thieves, nor covetous, nor drunkards, nor revilers, nor extortioners will inherit the kingdom of God. 11 And such
were some of you. But you were
washed, but you were
sanctified, but you were
justified in the name of the Lord Jesus and by the Spirit of our God.
Galatians 5:19 - Now the deeds of the flesh are evident, which are:
sexual immorality, impurity, indecent behavior, 20 idolatry, witchcraft, hostilities, strife, jealousy, outbursts of anger, selfish ambition, dissensions, factions, 21 envy, drunkenness, carousing, and things like these, of which I forewarn you, just as I have forewarned you, that
those who practice such things will not inherit the kingdom of God. Such folks demonstrate they have not placed their faith in Jesus Christ alone for salvation and are not born again.
Being born again and practicing such sins are incompatible and demonstrate that one is not born of God. 1 John 3:9 -
No one who is born of God practices sin, because His seed abides in him; and he cannot sin, because he is born of God. 10 By this the children of God and the children of the devil are obvious: anyone who
does not practice righteousness is not of God, nor the one who does not love his brother. John is clear. People can claim to be children of God all they want but if these conditional confirmations do not describe them then they are only fooling themselves.
A desire to worship in spirit and truth are the mark of a genuine believer.
Amen! A genuine believer is one who truly believes the gospel. (
Acts 15:7-9;
Romans 1:16;
1 Corinthians 15:1-4)
Noncompliance-salvationists often confuse generalities referring to salvation as all-encompassing statements. They will confuse simple "descriptive" expressions of belief as "prescriptive" and limiting. A confirming passage on faith ends up getting turned into a panacea (no obedience) to obtain salvation.
Noncompliance-salvationists? So, you seek to obtain salvation by obedience/works and not through faith in Jesus Christ alone? Do you feel the need to "add" your obedience/works to Christ's finished work of redemption in order to help Christ save you? I once heard someone who is a member of the church of Christ make this statement to me below in
blue:
"It is works of obedience and not works of the law or works of merit that help save us."
*Of course, that statement is an oxymoron.
Folks in the church of Christ conflate faith with obedience/works which "follows" salvation through faith in Christ. I've heard multiple folks in the church of Christ say that we are saved through faith "conjoined" with works which culminates in salvation by faith AND WORKS. Now faith that obtains salvation trusts in Jesus Christ "alone" for salvation and not in works (
Romans 4:5-6) yet saving faith in Christ does not remain "alone" - barren of works. (
James 2:14-26) That is the balance that gets out of balance by works-salvationists. Man is saved through faith apart from the merit of works yet faith that saves does not remain apart from the presence of works because it's a living faith (Ephesians 2:8-10) and not a bare profession of faith/dead faith. (James 2:14)