But, seriously, I wasn't saying they were identical . . . I was saying that local autonomy means that one church may hold quite a different set of beliefs from another in the same denomination.
Of course, Baptists tend to differ on matters like the use of musical instruments in church or the scope of dispensationalism . . . NOT the existence of God!
My local UU "Church" is called "The First Religious Society - Unitarian". What the heck is that? It so happens that most of the congregation reads the Bible and we have a somewhat tradional service but it stops there.