Sushe,
You said,
“Well, that’s a big if, 646. If they deem that a right they’ll facilitate it. But in all likelihood they won’t deem that right unless she agrees to follow the halachic process for the entire process.”
Ok so what you are saying is that the B”D will tell her knowing she cannot receive a get without them:
“We will only decide you have a right to ask for a divorce if you agree to Arbitrate custody and assets with us.”
Do you really do not see how that is forcing (or coercing if that word makes you feel better) her to agree?
If she is entitled to a divorce it has nothing to do with were she will arbitrate custody etc.!
I am not sure what part of this I am not being clear about..