Well yes, we Baptists do have complete autonomy with respect to individual congregations, etc. but we, the members, do get vote on various moral stances and also give many $$$$ in mission dollars to support our missionaries - that would include our Chaplains and already know that they are almost forbidden from public prayers ending in Jesus' name.
If Caesar demands officiating at homosexual "unions" (I refuse to refer to them as "gay" as they are anything but gay), I, as a Baptist, will vote to remove our sanctioning and payments to Chaplains who follow Caesar in this abomination!