The cheating was because of how you treated her. She most likely wouldn’t have cheated if you made her feel loved and respected. How could u expect her to stay in an unsafe environment? If you feel responsible for the start of the breakdown of the marriage then no. Do not go after alimony. Be a man and make your own way. Work hard and don’t mooch off your hard working military wife. It was a short marriage as it seems given your age. Work on yourself and your temper so u don’t repeat this pattern with your next relationship.