Women who cheat do so because they can while still counting on being given the family / house / money in a divorce.
You are correct that the "no-fault" divorce system has enabled cheating. But it goes both ways. Under "no-fault", joint custody is imposed even if one partner, often the male, wakes up one day and "discovers" he is gay, and then the children have to be transported to Fred and Steve's every other week and there is nothing the innocent wife can do to stop it. The moral dimension of marriage and the idea that parents are to be role models of moral behavior or suffer consequences such as losing influence over their children because they cannot uphold their vows and be a moral parent goes right out the window with no-fault. Cheaters of either sex get away with anything and still make the other spouse's life a misery until the children are emancipated.
Under "no-fault", the partner with the most money to pay lawyers becomes the "winner" and the one who has invested more time in the marriage, home and children is usually the "loser." Sometimes judges make the spouse with higher income pay the legal bills of the one who stayed home or worked part time so he or she could take care of the kids, but often they don't; and that home-making partner will get the shaft.
God hates divorce.