Hi Help!
What you are going through sounds like the same thing I went through with my AH years ago. He recognized he had a problem, we went to couples' counselling (we did have some things besides the addiction to sort out) and that was the beginning of our never ending circle. Looking back on it now, I recognize that the problems we had then and what we went to therapy for all came back to his drinking.
It does seem like you are taking a very important step. If he's willing to go with you that's great. Talk it out. A third party is sometimes what people need to see things more clearly. Good luck.