These are my thoughts: I would NOT drag an active, and abusive A, across country. Chances are, she will use this as an opportunity to not work at all, and then fall deeper into the alcoholic abyss. You know you are enabling with the driving and such, so I won't go further with that.
I think you're already realizing that her 'promises' are empty and worthless, because her actions she the complete opposite. The kids probably know there is a problem. I would try to get them some help though.
This could be your 'out' brought down from heaven above that lets you escape this very unhealthy situation, and start clean. It may not seem like a great option right now, but it could very well be a blessing in disguise. God could be leading you out.
Hoping you find some peace.
COD