A proper candidate for baptism that has been baptized for the remission of their sins is added to the church by God. It doesn't matter who performs the baptism.
Yes, that is correct. churches of Christ are autonomous and there is no central governing authority. The local elders are responsible for each individual congregation. The Bible says that God adds those who obey what the Lord requests that they do to the church. Very astute. Although many members are unfaithful and are not living as they should and scripturally do not have salvation secured, those that do are in the right "body", the only body of Christ and are headed for salvation. Anyone not in the "body" of Christ and is serving in a man-made denomination can not make such a claim to salvation per what the scripture teaches.
Baptist churches are autonomous, as the Southern Baptist Convention and other Baptist associations are voluntary, and their decisions on not binding on the individual congregation. Even some associational churches, such as the Presbyterian Church in America, cannot compel a congregation from dissent and departure. There are in addition independent churches of various persuasions, with differing theologies: charismatic, dispensational, Reformed, etc. How does independence from an ecclesiastical body distinguish a Church of Christ from other independent churches?
Although many members are unfaithful and are not living as they should and scripturally do not have salvation secured, those that do are in the right "body", the only body of Christ and are headed for salvation. Anyone not in the "body" of Christ and is serving in a man-made denomination can not make such a claim to salvation per what the scripture teaches.
This doctrine resembles the belief of extra eccelsia nulla salus held by some Catholics, usually those opposed to the mainstream of their church for the perceived liberalism of its modern leaders. It is ironic that a group whose roots are in the Reformation churches holds a position similar to that of the Council of Trent.