The problem though, is that LJ's h is also an alcoholic. This is very hard to combat in addition to the A's.
LJ, I think that this may be a case where you and your child will be far better off without your h. I know it hurts, but since he has been this abusive during all the time you've known him, I can't see him changing. This is who he is, always was, always will be, and you deserve better.