Yes you have made the correct decision to leave an active alcoholic, that’s what is best for you and your children right now.
He’s going to try and say anything he can to get you to his side of the street but it doesn’t sound like he’s willing to actually do anything regarding the root issue (alcohol) for which you left.
My ex used to jump on the recovery wagon, made a good show, attended meetings, therapy and talked a good recovery game. My fault was in going back based on a month of that act which soon dwindled after I went back home. Then that cycle repeated itself several more time with the BUT this time I REALLY mean it.
There is a real reason why its suggested to give it months and months before even thinking of returning. Both of you have recovery to work on, and who knows once you dive into your own recovery, thinking about taking him back just may never be an option for you.