She used to have a very strong faith, but she hasn't for years now. I don't think she ever really got it back after her affair, and she doesn't much want to hear about the God stuff. And the people she's hanging out with certainly aren't going to be changing those views anytime soon (in fact, I think the OM2 that's in the picture is a downright ANGRY athiest, who divorced his wife partly because he felt she was "too religious," and partly just because, I suppose, he's a WOLF and a PLAYER.
Someone once told me my wife's issue was not so much a marriage problem, but a God problem. It may seem simplistic, but when someone is cutting themself off from the loving, gracious creator of the universe, who is life, joy and truth, other spiritual forces, whch lead to destruction and death, will begin to hold sway in that person's mind/heart.
What is beautiful becomes ugly, what is horrific becomes attractive. Right becomes oppression and Wrong becomes liberation.
This is about your kids.
Inevtiably, your wife will seek approval from the kids for her new boyfriends. If she can hide the affair (OM2) and make it look like you guys split up because you couldn't get along, then the whole boyfriend thing will seem more palatable. If she can't hide the affair, then she will want your kids to abandon their faith in order to lose their moral compass, so that they will not "judge" her.
My concern is for the spiritual well-being of your kids. How do plan to explain the divorce to them? Mommy and Daddy just can't get along? It's quite possible that their discernment will be thrown off when the truth is withheld from them.
Do your kids have solid connections in your church with adults/families who will support your moral/spiritual vision of the world? If not, the best thing you can do for them is to start building that now.
You don't want to lose your wife AND you kids. I mean this spiritually.