I have been following your story and I just hope that you will find the courage and strength to put an end to the madness. You may forgive him and work things out through eventually but you are beating your head against a wall until he is off the sauce and has time in recovery. Simply putting down the bottle for a few days to stay in the house is not recovery. He has many issues as you do that you will need to address individually.
The man put his hands around your neck and you still let him back in. Again, drunk or not...he is a danger to yourself and to your children. Please think of your kids if not yourself because you know what he has done and you still allow him back in your home.
That is a toxic situation and I only wish you could hold the line. That whole situation will not be erased by his simply sobering up but a long time of support and think of the damage already caused to you and your kids.
Please stay strong with getting help for yourself. I am thinking of you.