Hi Kim,
I was a British Forces army wife for 16 years and we moved every 2 - 3 years. We didn't move with the corp, so new neighbours, new friends, etc. Oh dear, you get to meet them don't you?
Anyway if there was a problem, the military would have stepped in, but...... it depended on the rank of the other husband. Lower or the same, not a problem. Higher and it became a lot more complicated. I don't know much about the American Forces, but I'm sure you have something in place. Find out, even it it's just to get the information.
In the meantime, deep breath, you are better than her and most importantly don't let her get to you to the point where that first drink pops into your head.