"No! I never thought I would have to go that far but now anything is possible."
It's a lot less radical choice than 1. continuing to fight with her/have all kinds of BIG marital issues (including sexual) ruining your life or 2. divorcing her (which I wouldn't rule out, but it's definitely going pretty far
30 days in a recover center could provide a refreshing break for you, and some new perspective for her. Sending a strong message to your kids about how you handle alcoholism under your roof. If you send her there, also, it should give the kids a chance to communicate with you how they feel, without being afraid of hurting her feelings...
Of course, rehab is not gonna make the problem disappear, at all, but it would be (at the very least) a little rest and respite. You can get your head together...