Declaring to be a part of the faithful remnant means, simply/summarily, praying and trying to follow Jesus by the book.
The faithful remnant will not pay for or participate in apostasies.
Below are three examples of how parts of the faithful remnant from different franchises aka denominations are fleshing it out.
A PCUSA church discovered this codicil in its bylaws: "The bylaws may not be amended contrary to or so as not to include provisions of the constitution of the PCUSA."
Recommendation as part of declaring remnant: "The bylaws may not be amended contrary to or so as not to include provisions of the constitution of the PCUSA as long as they do not contradict Christianity as personified in Jesus, prescribed in Holy Scripture, and upheld by over two thousand years of Biblical, confessional, constitutional, traditional, historical, and common sense Christianity."
Bylaw: "A secondary law."
The Confession of 1967: "Confessions and declarations are subordinate standards in the church, subject to the authority of Jesus Christ, the Word of God, as the Scriptures bear witness to Him."
Edward A. Dowey: "The much-quoted and often misconstrued motto, ecclesia reformata, semper reformanda, 'the church reformed must always be reformed,' is part of a phrase that continues secundum verbum Dei, 'according to the Word of God.' Reform, thus, especially as a proper name, for example in Reformed tradition, means not change or alteration as such, nor does it signify a revolution that tries to start over without looking back...Our question now should not be 'Are we successful?' but 'Are we faithful?'"
Simply/summarily, bylaws are subordinate standards to Jesus by the book.
Putting it another way, the faithful remnant only recognizes authority focused on and filtered through Jesus by the book.
Peter: "Listen to my message! It's about Jesus!"
A PCUSA church declared remnant and established a task force to flesh it out: "We will consider all options in our praying and desire to be faithful to Jesus by the book."
They have begun developing policies consistent with their understanding of being a part of the faithful remnant in the midst of civil and ecclesiastical hostilities.
Here's how another church is praying and trying to remain faithful:
There's an old song, "I have decided to follow Jesus...no turning back...though none go with me, yet I will..."
It's a human instinct to survive.
Human instincts converted to Christianity pray and labor to follow Jesus by the book in all things at all times in all places with all people.
It's a human instinct to sit on the fence and be most concerned about personal/vocational securities, perks, pleasures, and other imperial priesthood anti-Matthew 15/23 abominations.
Some people exchange those temporal niceties for eternal realities because, shhhhhhh, they don't really believe in the eternal consequences of existential beliefs confirmed by behaviors or any of that Jesus by the book stuff as evidenced by their abominable accommodations with evil. They are professional pewsitters/pulpiteers with no personal relationship with Jesus.
What do we really hear when we sing that old song?
"What does it profit a person to...?"
Blessings and Love!