I feel your frustration...have been there, and it is completely understandable.
That said, You have your focus right where it should be: on yourself, and on the well-being of your children. Day by day, just make sure they are safe and well supervised. Don't concern yourself with anything your EXAH says...just see what he does.
You are a good mom to have gotten your kids away from active alcoholism. What happens now is in your exAH's and his HP's hands. Take care of you