While the church I’m in now doesn’t have one, I think it is fairly common for individual churches - including those in the SBC - to post doctrinal statements. Since the SBC has no downward authority, of COURSE the individual churches have that right.
If one is at variance with the SBC position, then their delegates could be challenged at a convention.
I think it is hard for those from hierarchical churches to understand that baptists are serious about the autonomy of the congregation.
The SBC Baptist Faith & Message says, “A New Testament church of the Lord Jesus Christ is an autonomous local congregation of baptized believers, associated by covenant in the faith and fellowship of the gospel; observing the two ordinances of Christ, governed by His laws, exercising the gifts, rights, and privileges invested in them by His Word, and seeking to extend the gospel to the ends of the earth. Each congregation operates under the Lordship of Christ through democratic processes. In such a congregation each member is responsible and accountable to Christ as Lord. Its scriptural officers are pastors and deacons. While both men and women are gifted for service in the church, the office of pastor is limited to men as qualified by Scripture.
The New Testament speaks also of the church as the Body of Christ which includes all of the redeemed of all the ages, believers from every tribe, and tongue, and people, and nation.”
Thanks, Mr. Rogers. You are so right to point out the importance of autonomy to us, as even distinguished from otherwise like-minded Bible believing Christians.