I think you need to go back to court to make visitation supervised until he can show proof of his completion of therapy. And, proof of wellness (although I did not understand wellness from what?). That your kids have become attached to the woman he dates AND you are not jealous of their attachment is completely wonderful. That your ex husband cheats on this woman is completely not your business. It is their private life. If you think, however, that this dating relationship might soon be terminated due to that cheating, AND you care about the kids' newly found attachment, then you definitely want to make sure the children stay in touch with this woman regardless of the status of her dating/non-dating with your ex husband. To foster their relationship with her would be a laudable goal.