Sorry you have these troubles,but actually your mother sounds to be in a good place to be able to reach out and get help for her problem. With no one else but you and your kids; should you also leave her due to her failure to address her alcoholism,it seems like she will be left with it in her lap.
Your kids don't need to be subject to her behavior and neither do you. If your mom was not so sick,she would say the same thing,I would think.
This sounds like one of those situations where an "intervention" with real consequences might be beneficial,imho. I'd consider that route, and then at least have said my peace because I would have to put up the boundaries to keep my children from more chaos.
Best of luck to you. Glad you found us and hope you stick around. It really has helped me regain my footing.