In New York, the sanitation department is in charge of snow removal. They put snowplows on all of the garbage trucks and they also have a few salt spreaders, front end loaders, and other big machines. They don't seem to know how to operate the heaviest equipment though. I'm no expert; I've never been at the controls of anything larger than a U-Haul, but I think I could do a better job getting out of this jam.
These guys have a pretty strong union, so they probably won't get fired, though they should.