For the record I sent the text below in an e-mail to B”D Maysharim of Lakewood (although I know what they do I just wanted to get it in writing for this thread):
“Does the B”D typically request that the parties submit to arbitration for custody and assets by the Dayanim on the B”D before facilitating a Get?”
They answered
“Typically, but it’s up to the Dayanim’s determination based on the specific variables.”
Make of it what you will.
I will send out this question to other Batei Din as well although I can predict with near certainty that their response will be the same.