Do not mind the religious association, since many English words have those and Webster's dictionary simply tends to just make them more obvious. For reference, in this particular context conform means:
I am hesitant to suggest it since, in its proper form, calling a person a "conformist" does not tell us much more than that a person is conformant (dictionary.com) and in Webster's words, appropriate is virtually the opposite signification of mindless. In a purely lexical sense, somebody may have good reasons for their conformity, which can make the orders, customs, creeds, traditions or laws very conformable, in the specific sense of their agreeableness. Conform can also mean to make alike generally but especially in terms shape.