You can't "do" sh-t. Even if you threatened to quit en masse, they would show you where the door was. Absent elective surgeries, they could function without you, no problem. You need them much more than they need you.
It's not much different for attendings. There will be simply way too many anesthesia providers during the following months, hence one could get fired easily over being difficult. Make up your mind what's more important: your health or your job/future. Join the club.