We have a word for "morality-lessness", and it is amorality, which coincidentally works more naturally in your analogy: If morality is analogous to theism, then a-morality is analogous to a-theism.

I hope you understand my trouble with the use of an idiom that implicitly equates morality with theism. (Well, amorality with atheism, which is more the problem.)

(sorry about all the edits, this was written horribly.)