Just pretend he doesn't have PTSD for a moment. Try to picture that. What do you see? How do you feel about him now? More importantly, do you see what you are subjecting yourself to?
You are being abused. It's eerie to me because I went through this same toxic relationship a few years ago (He was in the military as well, was abused as a child, abused alcohol and me in every way possible, we broke up and got back together constantly and he cheated on me frequently). I chose to stay with that person and be subjected to trauma he caused me because I loved him. Because I believed so fiercely that I could "cure" or "help" him, since I have the same disorder. Your love may be vast and great for him, but if he really loved you he wouldn't treat you so horribly despite his issues. At the most, a person with PTSD would emotionally shut down - which is the worst thing, in my opinion and that I can think of right now, that someone with PTSD can do that harms other people.
I know this is everything you don't want to hear. But, it's obvious to me that he doesn't respect you (based on what you wrote) and he sounds like he doesn't want help or to better his life (also based on what you wrote). He sounds like he needs a variety of professional help, which sadly, is more than what you can give or offer to him (I learned the hard way and that's putting it lightly). You are just a supporter to him and cannot provide anything further that a professional could give to him. And he has to want help with his own free will. The amount of love you have for this person sounds vast, but what is their amount of love toward you?
In my situation I learned that sometimes all you can do is save yourself and hope for the best for the other person. You can still love someone and not be with them. Or even have them in your life. Letting go of the relationship I was in with that person was the greatest thing I ever did for myself and it was the most terrifying moment in my adult life. I ended the relationship and needed to get a restraining order against him (abusive relationships always get worse with time, "starts with bruises and ends with to life support or worse" as my mother would say; I am proof of that because he almost shot me in the face when I broke up with him for the last time. I was lucky I didn't get hurt or worse).
Get yourself out of this before it's too late if he gets more violent. I'm very sorry that I am telling you this and you probably have a million reasons in your head why I am wrong... But, you don't deserve to be treated like that, no one does, and he needs to figure out for himself what kind of path he wants to live, if he decides on his own wants to better his life.
Good luck to you. I'm sorry you are going through this...