I wanted to add that I understand your fear of how your wife will do on her own. The tough thing about alcoholism is you can't control it whether you live together or not.
Once we separated my AH did get his life together for a time. Now he is back to drinking. After ending up in the ER for a bad fall he has just made adjustments so he can continue to drink. Now he drinks in bed so he doesn't hurt himself when he passes out.
He knows where to get help so I don't feel as responsible/guilty. My priority is providing a safe, stable environment for our kids.