If you see yourself dropping the rope when you tell her this decision, then I think it is the right move. If you are hoping it will change her mind about seeking out the mediation, then I don't think it will work.
Do you think you are at that place you can truly drop the rope and move on without her?
You sound good. BTW, I like your style of writing. You have given me a smile or two (in spite of a frown now & then...lol)in your posts. I hope you won't lose your humor down through life. It's a gift.
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!