It sounds like you think your mother should not be drinking because you have stopped drinking? Sure, the support would be nice, but you can do this!
Even if she is an alcoholic, it's her decision to make. When you try to control someone else, I think you find that it makes your own life feel out of control.
I think you should consider stepping away from your mother for awhile until you feel more ready to deal with other people drinking. That's what I did because I really couldn't be around people who were drinking and my mother was at the top of that list.