The message they are sending is that the kids are very separate and not expected to get along together. Each kid is going to be worrying about what the other one is touching/doing while they can't be there to supervise. And what about sleeping - are they going to do that in shifts?!
If he doesn't take your kids to the C, I hope that you do! Sounds like they are going to need the place to vent, and develop some coping skills! I had my kids introduced to their counselor even before we separated - I wanted them to know that they had an impartial adult that they could talk to and get advice from, and that they already felt safe with, before things even started getting hairy. My son has the IC's phone programmed into his cell.
If you want him to get some C, it might work to ask him to go to co-parenting "classes" - most IC's will do work with both partners to help facilitate communication, and it is, again, an impartial voice to call him on his sh!t. I actually had that put into our D agreement.