Sorry to hear what you've been going through, but I think this senario was one of those eventualities. Unfortunately some guys can't live without a woman in their life and your husband may be one of them.
Just wait till she moves in!!!
Anyhow, the sad thing is, during a divorce we can't protect or children from what an x-spouse may do (within legal limits). The best we can do is try to stay rational around the kids. Don't let them see you getting emotional or angry at your husband about this. You can calmly and logically explain why the behavior is wrong and that when they grow up you hope they make better choices.
There is no arriving, ever. It is all a continual becoming.