You've posted a half a dozen threads, on several different forums, and for the most part, people have been telling you the same thing.
I also think you KNOW what the right thing to do is; you're just not willing to do it.
"Giving your wife space," and offering to take the kids for her, and encouraging her to take a vacation, etc., is classic "rescuing" behavior, and you need to stop treating her like a princess. SHE IS CHEATING ON YOU, AND HAS BROKEN HER WEDDING VOWS.
If her mother wants to enable her affair, that's up to her mother. But you shouldn't.
My advice for you hasn't changed; I suggest you go back and re-read it.