Wow... your husband got drunk in vegas and paid a prostitute to 'talk to him'. I say this with total sincerity...you are a very patient, understanding and compassionate person, because if my husband did that, i'd be drawing up divorce papers, and he'd be sleepin at his momma's house.
The part about the having a bacardi and now he's "back on not drinking now..." like he went off his diet or something. Yeah, I had some chocolate cake, but I'm back on the no carb thing now.
I agree with PB, let him do the research. AA is a spiritual program, it is not religious. If he did some research about it, he would know that.
Wishing you the best.