The reason the disorders you mentioned have been named is because they entail a very specific way of thinking. Being "religious" or "non religious" are both pretty vague when it comes to the way someone actually thinks.
Just because I own a truck does not mean I know why another person owns a truck, nor could I say with much validity why someone else owns a large SUV or compact car. It would be nothing more than a guess.
Okay. I mean, only one of the most famous psychological books of the last century, by William James, was written on this subject. Oh yeah, guys like Kant, Feuerbach, and Freud had a lot to say on the subject as well.
But you know more.