After much experimentation, I don’t believe there is a way to do this in Final Cut. It seems like one of the most basic bin management operations… Avid has had it as long as I can remember… and it drives me crazy when working with a huge project with lots of bins.
The same way you apparently can’t close all open tabs at once… it’s a little interface thing that shows how far Final Cut has yet to go to catch up to Avid…