Talk your family therapist about taking your kids to see him/her and the appropriateness of doing it without mom.
In general...
1. What your wife thinks right now doesn't matter.
2. Protecting your children is #1.
3. Protecting your custody to them is #2.
4. Protecting your assets is #3.
5. My sense is that your wife might agree to not expose your kids to her nummerous OM, but realistically, she can't do that. She's in a MLC. Part of her disease is this need to live a reckless life, degrade herself and find affirmation from other men, and apparently many of them. The lifestyle is too all encompassing. It's not an occasional weekend tryst with someone on a business trip which you can shield the kids from. It's an addiction. Would you expose your kids to a drug addict and her dealers? Maybe she'll stop the behavior for a little while, and then she'll slip up occasionally, which will seem less greivous to you. And then you'll ask her again, and she'll stop again, and then start again.
There's no way to nicely draw a boundary with her. If you speak to her about this, you will need to be firm and be prepared to not give in. You may need to threaten her with court action.
In my opinion, however limited my information is she's too far gone to listen.
She can't take on multiple lovers and not expose the kids to this.
