You don't have to learn to live with an alcoholic. That is a choice that you are certainly entitled to make. If you no longer love him and want to take your kids and go or ask him to leave, then that is what you should do. Sometimes learning about the disease and how you deal with it can change your feelings about that person. Alanon or a place like this can help you find your way to better life with the addict or help you find your way out the door.
Reading your post tied a knot in my stomach because I remember just how hard it is to live like you are. I'm glad you found us. There are alot of helpful people here that you can learn alot from. Read other posts and check out the "stickies" at the top of the page. Stick around and join us. You've just made your first big step and you will be glad that you did.
Hugs, Jo