Maybe the family unit is still intact in Norway. Being raised in a traditional nuclear family limits how promiscuous a woman will be. The virulence of feminsim in Norway also isn't as bad.I guess my point now is that the solution still isn't what you think of. There's little of that social control you're speaking of here in Norway, yet it generally works. Maybe you have identified the cause of the problem incorrectly, maybe something else causes this problem.
Your divorce laws probably are not as bad either.