Do you think she would go to co-parenting "training" with you - again, the 3rd party might be able to hold more sway in that...
I have tried that before with W, several times. I even arranged for a well-regarded family psychologist almost exactly one year ago, one who offered parenting skills training, and met one-on-one with him in preparation -- but W wants absolutely nothing to do with me in that regard. I should have taken the hint then, especially when she said she cannot bear to even be in the same room with me, let alone doing anything to help bridge the gap between us. When I offered to start these sessions separately, she shot that down too. She said that I could go ahead for just myself, since I was apparently (in her opinion) in need of psychological help, but she herself needed no such help with her parenting skills.
Of course, in retrospect, this was but days before her highly documented rendezvous with OM in a local hotel (I got evidence from a P-I that I had hired) -- so the last thing on her mind was getting along with her spouse when she's lined up a major encounter with her affair partner.
I later offered again, back in May, to try to work some form of middle ground out between us and to get the outside support we need to cooperate for the sake of our children. I shed a few tears when she turned my olive branch down yet again -- and she even responded to that by threatening to call the police if I did not leave then and there. I guess she got angry because her conscious started coming to life at that point. Can't have that, can we? That's when I decided it was best to just drop the rope altogether. There has been no talk from me since that point about trying to salvage this M, even if that might be best for our children. I am now only concerned for my children and their R with me.
Now that our L's are suggesting that W and I seek a parenting coordinator and/or parenting skills training, suddenly she's listening (or giving the appearance she might entertain the idea for once.) If the idea comes from me she will reject it completely out of hand. Otherwise it remains to be seen if she decides to take the suggestion or not.
Unless W's L tells her it is imperative for appearances sake to try to work something out with her H, my W is not very likely in the end to go with any such outside help that involves me. And since her L appears to want to engage in more conflict than what is truly in the best interests of her client, I doubt W's attorney will truly encourage the effort anyway.
I'll hold the offer out there still, but I'm certainly not holding my breath.