That’s fine. I didn’t dispute that. But this is where Baptists came from. At a specific point in time, the people who became Baptists belonged to a specific branch of Protestantism. One that emerged from a state seizure and occupation of the Church (namely the English monarchy).
If you look at the latest battles in this fight, Baptists certainly play their part to cede authority to the state. Granted, they still have Baptist hospitals in some places, I think, but in general, they are not expanding or even remaining at status quo. They seem to be reducing in those charitable services as well.
There are better examples of some Protestant denominations reverting back to a direct opposition to state power, but they are fewer in numbers. More like aberrations. Also, they had to undo the cultural developments of the Reformation in order to get to that point.
One interesting aspect of this is why exactly some of our founders fought to get the establishment and free exercise clauses included in the first amendment. Was this because they recognized the power a state church afforded any monarchy of their time? They were not very friendly toward the Catholic Church at the time either. So it’s not like they actually believed everybody should just pursue what religion they felt was best. It had more to do with power than anything else.