We can't diagnose here, so I can't say for sure. But he certainly seems to be a "neat freak," anyway.

If you don't mind my suggestion, I think the two of you could use some counseling to talk about your relationship and to get a handle on his obsession with order. I am concerned that he doesn't seem to be willing to hear your point of view. If he won't go, then I encourage you to go without him. (He might resent your suggestion, come to think of it. I'm wondering if you shouldn't talk to a therapist first.) Then at least you could get a professional view of what might be going on with him, too.