You won't see the point of it right now, because right now you're in the thick of the awful consequences of your life......
Do you really want to make them MORE awful?
Listen; it sucks. Where you are, flat out SUCKS. The system, your kids, your job.... all of it. But the way to address it - ALL OF IT - is to stay sober and change it. ALL OF IT. FOR THE BETTER.
I have several friends who have done it. One step, one day, one letter to the kids, one apology, one demonstrated ability to be counted on, one reason to love, one trustworthy act, one smile, one hug at a time.
What's the point?
The point is that if you're any kind of father at all, you will show those kids what a father does when he's screwed up and lost it all and realizes it.
He sucks it up, gets well, comes back strong and devoted and does WHATEVER IT TAKES to get back in their lives and to make a man of himself they want to be with and love.