I can't remember--is there something objectively objectionable about OM? Like a criminal record?
In general I feel it does more harm than good to try to control who she leaves the kids with on her days--it keeps you too tied up in her life, monitoring things, and puts kids in an uncomfortable position--but if he has a criminal record I would pursue a legal separation agreement with clauses about them spending time with him.
Me: 44 H: 44 Kids: 20, 16, 16, and 10 Together/Married: 22 years H announced he was emotionally detached and considering D: 4/4/16 H announced he is going to try to stay and reconnect: 5/1/16