Glad that so many are offering wise advice, including the multiple responders who are or were in your husband's shoes. Props to them for honesty.
As an outsider to this (grandma went through this, recent generations didn't), it looks to me like change is slow and the harm of divorcing is lower than that of staying. I base this only on the guess he will not get over this soon, and that it doesn't get easier to leave, just costlier. If I may be blunt/full of baloney (you decide), you have a role in this because you have the power to stay or leave. Divorce doesn't fully protect the children but it partially does so. My guess (I emphasize guess) is that the courage in leaving will pay dividends in your own personal strength, move him toward recovery faster and help the children in the long run. Tough road regardless, sorry about that. Maybe your part now is to break the pattern, lead the family forward by making change. Be bold, not passive. You're not facing a person, you're facing a disease. Sorry your husband is struggling but the disease's effects should be limited to one person wherever possible. Again, just one person's thought after reading. Good luck to you and everyone involved.
PS. I wouldn't feel the same way about, say, cancer. But alcohol has different effects. Not an expert here. Still, all family members I know feel Grandma's divorce decision was needed. If the disease leads to damage that could accrue to family members, the training to be a supportive female has to be overcome for the greater good. I apologize if I read too much into this situation. My intuition - ignore it, it doesn't know you! - says you've already been quietly accepting a lot of incidents, otherwise you wouldn't have mentioned divorce in the original post. Hence my pro-you, Time To Stand Up attitude.