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crickett, I've been in a similar situation with a man who would not seek help for his immense issues, who lied to me constantly about everything and who had a compulsive need to be unfaithful. Luckily for me there were no children involved.
Eventually I summoned the courage to leave him. He has gone on to repeat this behaviour for twenty years damaging countless other woman along the way. I have since discovered how many women were hurt by him before me.
He still rings me wanting to get back with me (and who knows how many other women get the same treatment?). He admits he needs to repeat the pattern of "good" woman at home, "naughty" woman for affair. He is addicted to this pattern and he knows it. He has no intention of seeking help.
This was the man whom I first told I had been raped ten years after the event. His response? To refuse to have sex with me and to enter into at least two affairs simultaneously whilst clinging to me and trying to stop me leaving.
This all did immense damage to me and I resuppressed my rape and again did not seek help. It was a major contribution to me getting PTSD.
I continue to love this man years later - there are other good things about him - but I am not in love with him. He is toxic to me so I always refuse to see him.
Please don't let your children see you being treated in this way. Since you are a far better role model for them, please think about what you are teaching them about self-esteem.
You cannot change this man and you cannot rescue a marriage on your own. I wish you all the courage in the world.