Pelican is right on the money. He didn't quit drinking before to save his family, why should this time be any different? Not that he might not try, and succeed, this time, but it isn't the presence or absence of the family that will "do the trick". It will be his own desperation that does it.
I would suggest that you go with your OWN truth, which is that you and the kids should not be subjected to this anymore. Wish him well with his recovery, pray for his recovery, hope that someday he can have a good relationship with his children again, but do what you need to do for right now.
Hugs (and I wonder where that counselor got his/her degree...),