Oh the rant about the dancing on ice woman and your poor daughter had me sitting here with my hand to my face RD! That's horrible! Criticizing your Daughter must just be totally demoralizing for her. Parents should be helping to build self-esteem. When a Dad does that it will make a girl, in many cases, run in to the arms of the first guy that shows any interest. I think I would tell him to shut up - honestly.
I just went back and read the first thread you posted here. How he is ok, 80% of the time, how he had quit drinking (obviously not) but that you are more like room-mates than Husband and Wife.
The bottom line. He treats you badly, he treats the children badly. They may well love him too and a lot, but children can love abusers. Children depend on the adult, when they are older, yeah, they aren't going to love him so much.