I saw your post and my first impression was this. You appear ready to spin out of control. So the first thing you need to do is relax and be patient. Yes. This is tough stuff.
Ok. This didn't just happen, so don't expect any quick fixes. Next, I can see the negatives, but if you focus on those, you will mess things up quickly.
Now as a good friend would say, take a chill pill and read Divorce Busting. Have you read it? because if you haven't, you will focus on the wrong stuff. You have to understand the Db concepts before you start running down the MLC road, which in my opinion is a road to hell.
You wife doesn't want to be alone with you, suck it up. If you try and impose alone time, it will explode in your face.
Drinking. You were mad at her, but you were drinking too. The point is that if you are looking for a reason to be irritated, you can find one every time. Eventually, you act, blopw up and screw things up.
As for MLC, I am not a mental health professional nor is anyone else around here as far as I know. You have a professional. Depend on that person.
Now, there is so counseling which is a positive.
Now do you thing. Stay out of the way. And bolster your emotions. It looks like this is wearing on you. If you crack, you can lose any chance you have.
Now these are important words for you to think. Relax. Chill. Patience.
Hang in there. This will not be easy for you. You have to act as if you are ok with this.