PC, I get what you're saying. You can't make a blanket statement 'coexist is incompatible with religion' because, you're right, there are religions that are more open to letting people do as they do. But there are definitely mainstream religions that are incompatible with coexist. Suppose there was a religion, Q, that commanded its followers to kill its nonfollowers. But coexist says that we should live in peace, not fighting. So a true believer in Q cannot be a true believer in coexist without compromising one or the other.