You're asking us what you should do to fix the situation. You can't fix him.
Do something for yourself once the kiddos are in bed. Let him sit in his poopy diaper. He wants you to mind read and clean it. It's his mess.
Trying to connect is the issue - YOU'RE trying to connect, you have a need for emotional fulfillment. From your posts, he's not doing that.
Can a book, a project, a craft, journaling, something besides talking with him fill that need?
GAL'ing doesn't mean leaving the house - you should be there for the kids if he's as unstable as you write.
What about running on a treadmill for half an hour? What about practicing an instrument? Painting? If it's not too cold out, taking a walk around the neighborhood for an hour?
Just a few suggestions. I'm reading what I can, and posting on this board. That's keeping me in my game. Also, going to be walking on the treadmill starting tomorrow - back at it, back to losing my 40 lbs by 40 - 2 months to go, and 15 lbs to go. Got to get on it, now that my achilles is healing up.
M46, EXWW46 M15 T17 D20, S19, D13 M - Addiction since 1998 W EA/PA #1 2013/2014 W EA #2 June 2015... BD 1 Big D talk 9/15 BD 2 - EA/PA disc 10/30/15 Served D 1/22/16 Divorced 5/25/16 (yes, that fast!)