I think if you limit yourself to closed meetings at AA, your anonymity, and therefore your job situation, should be safe. Closed meetings are for alcoholics only, and I seriously doubt anyone who knows what you're going through on that intimate level is going to out you. Actually, I doubt ANYONE at ANY meeting would, but you'd have an extra level of security that way.
Congrats on your seeking of change, BTW. The path to help leads away from disaster.
Rev