As far as I'm aware, most modern American protestants don't believe in doing whatever your parents or pastor tell you. They view the church as voluntary organizations people can join to help them be better people and get closer to god. Similarly, I don't think most people view family as authority, at least once the kids get a job and move out.

Admittedly, I'm culturally an extreme NY liberal, so I have little contact with this side of America. I've never been part of such a community, and could be totally wrong. If so, please tell me - I don't purport to have much first hand knowledge of such communities.