Wishful,
If you must stay, then the best action for you and for your children is to get help to reverse the brainwashing. You will need professional help, or close work with an experienced Al-Anon sponsor, to restore your thinking to more clarity and to reverse your sense of self which is being damaged to the core by your life with an emotionally abusive spouse.
Maybe he will actually find real sobriety. Maybe he will actually become accountable.
But the damage has been done. And only you can make the choice to recover the self-worth you have nearly completely lost. Do this at least, Wishful. Because your children, with their intuition and their deep hook into your feelings, they will assume the responsibility, if you do not. They will worry about you, they will feel guilty if they are happy while you are not, they will not be free to fly away and make their own lives. Like most children of unrecovering codependents and alcoholics, they will feel shame and guilt and responsibility which is not rightly theirs.
But if you get help and become well--meaning, a full restoring of your confidence and self-worth--then things will be so much better for them.