Hi soccermom. i am going to tell you the God's honest truth, counseling will not work. What he needs is to "hurt enough" to make a change. His behavior with other women has taken on the noose of addiction and until an addict hits rock bottom, until the emotional, mental, physical and financial pain becomes more than he can take he simply won't seek help. At least that is the average for men. Clearly losing your trust and some or all of your regard is not enough pain. being made to leave the family home is not enough pain. losing daily access to his children is not enough pain. But believe me that pain is building. When will it be enough? i wish i could say but if varies from person to person.
First and foremost you need to cover him with pray. This should be the first line of attack in what is clearly a spiritual attack on your marriage. Make it a point to pray for him, for his addiction, for his victims ( you, the kids, and even the women he cheated with), Pray that God would put people in his life that will not shirk from confronting him on his behavior.
Next, take a person inventory of yourself as a wife. Now i am not blaming you for his actions. even if you were the world worst wife, cheating was his choice. However, men need cheerleaders. men that become work-aholics generally do so because work is more emotional rewarding than home. At work they get told they did a good job, they are part of the team, they are valuable. While both husbands and wives should cheerlead each other men are especially vulnerable to seeking approval elsewhere when they don't get it at home.
Next, take inventory of what is left you can deny him short of divorce. believe me in order for him to hit rock bottom it will take a great deal of loss. One thing you may be able to deny him is his excuse. He claims PTSD. so call your local military base and ask for the senior chaplin and invite both him and the chaplin to lunch. as a military man he should fell comfortable with a military chaplin and the chaplin should have plenty of experience with PTSD.
hopefully at some point, and soon, he will come to the place where help becomes something valuable to him. when that happens what he needs is not counseling but an accountablilty support group that specializes in sexual addiction, Christian ones has a much higher success rate than their secular counterparts.
about 90 days into joining the accountability group, then christian counseling for both of you will be both possible and of benefit to both of you. In the mean time find a good christian counselor for yourself to help you release the emotional baggage that is piling up.
I hope this helps you. I know its not encouraging now but if you can wait it out till he is in enough pain to change your marriage could be truly saved.