If you are correct and he does indeed suffer from Antisocial Personality Disorder then you need to put the welfare of your children and yourself first. Such problems tend to get worse with time since as long as someone is getting away with such behavior they are reinforced in the conviction that they have no need to change. No relationship can survive loss of trust, towards the end of our relationship my own ex was given to cheating, drug and alcohol binges, violence, lies, theft, she even did jail time, in the end, when our daughter was three and half months old, she ran off with another man and left our daughter behind. The court ordered that she be supervised during all visitation, then later cut off the visitation completely due to her misbehavior. You need to talk to a social worker, and possibly a lawyer, and get advice on the available options in the state in which you live, then go from there. Good luck, and my prayers are with you.