MLC?

[psalm46:10]

Hello-
I am fairly new to posting here and believe my husband is having a MLC.

Here is some background:
We have been married for 13 years, have a D9 and a S8. He was married before and has 3 children from that marriage. About 2 years ago my H lost his business due to the economy and he went into a state of depression, although he would not admit it. He detached from the family, would come home from work (he got a new job right away) grab a beer, and zone in front of the tv for the rest of the night. In April he started working out every day and detached further. Then in September he told me he didn't know himself anymore and felt like he needed to move out to find himself. He told me he couldn't find himself living with us. Immediately he moved to the spare bedroom.

A couple weeks after he told me this he told me that he saw a lawyer, but that so many of our friends had reached out to him that he decided to try and that he was going to go to counseling (on his own.) He has a lot of unresolved issues from his past- his mom was married 5 times, he didn't meet his dad until he was 15, and his first wife had an affair which resulted in a pregnancy (he raised the child as his.) This is the abridged version- the whole story is so sad.

I have a friend who told me about DB, and my counselor (I am going on my own also) recommended DR. I have been reading all I can find on MLC. I started the techniques, GAL, not speaking to him too much. I have tried to give him the space he needs, but living in the same house is hard! He doesn't do a lot with the kids- mostly he comes home from work and goes right into his room. He won't eat anything I cook- says that he doesn't want me to perform any wifely duties, when he can't be a husband to me.

This has been going on 3 months now and he continues to tell me he wants to move out, but he hasn't. He goes through stages where he seems "normal" for a bit, but then it seems like he has to do something to push me away again. The other day he seemed so angry at me- I was the reason for all his problems- actually at that moment, all the problems in the world were my fault, and then 2 days later he is texting me, asking for sex. He continues to want to be intimate and acts completely normal during. I guess I am just wondering if this is a MLC or something else? Do I continue the intimacy, or should I stop. My concern is that if I stop he will look elsewhere for it, or feel I am rejecting him.

This is the hardest thing I have ever done. Everyone has said it is the worst roller coaster ride ever. I am trusting God in his promise that he works everything out for the good. Any advice is welcome and appreciated.