I am from a medium-sized city and understand the need for privacy. Your wife needs obviously needs to address why she drinks, that will only come when she hits rock bottom or wants to quit. If she's driving drunk illegally with kids in the car that is child endangerment and in my state comes with dire consequences.
Try rehab, try leaving, it's up to her in the end. If she knows you, she knows by now what you will and will not put up with. As a woman, I cannot imagine living without my children. I believe that if you give her your limitations and she doesn't abide by them, then take the kids and leave or better, change the locks. Don't let her come back until she's been to rehab, then address new expectations.
You sound like you follow through, and don't have time to waste time. Tough love works. It will be difficult, but as someone wrote to me yesterday: If this is as good as it gets (and it is), is this what you want for the rest of your life? And I will add, for your children?