NO, they're not always lucky.
At one point, my attorney suggested I file for full custody and only supervised visitation. I weighed the pros and cons and decided against it for financial reasons (if I lost, it could have cost me $30K). I cried and my attorney's partner said this to me:
"Be patient. The one thing I know about jerks like your ex is that if you are just patient, they will screw up. It may not happen as fast as you'd like, but I can guarantee you, he will screw up."
So that's my message to you, too. The further he descends into alcoholism -- if he doesn't decide to get sober -- the more you'll be ahead. (((hugs)))