Thank you all, I am considering very carefully everything that has been said on here. I am stuck on leaving the playground so the bully doesn’t win.. isn’t that what the bully wanted? I don’t know honestly. I had a lot of trouble with bullies. I need to remember that it seems my wife does need me with her ringing three times a day for the duration of my availability, and saying she can’t put the kids to bed without my help.(I also get them up in the morning).
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This is just a guess- as I can't predict what your wife wants or will do, but in my situation, what the "bully" wanted was control, not leaving. Like your wife, she could not have managed on her own. She was dependent on my father as your wife is on you.
This was a paradox. Dad earned the money, he was the more stable parent and yet, BPD mother seemed to be in control.
If the main reason is fear of your wife leaving you, it's possible that this fear is greater than what may actually happen.
For my father, there was an additional fear that could and did happen and it was the extreme reactions of my mother if people didn't go along with her.
Your wish- for your mother to see your children without rocking the boat in your marriage may not be realistic. It's weighing two consequences- one being your mother doesn't see the kids, or your wife reacts in a difficult way. These are two difficult choices.
Don't hold me to this- it's a wild guess- but I don't think your wife can manage on her own. She either may not actually leave you but if she did- I don't think it would last long. I don't think likely she'd find someone else willing to take on your role for her and the kids. Possible maybe but not so easy to do.
I'm not suggesting you bring up leaving as leverage. That isn't a helpful thing to do. However, if she threatens leaving, it might not have the leverage you fear it does.
BPD mother would bring up divorce, but I don't think she could have managed doing that.