If I were in charge, they would tow for street cleaning...but they'd put your car right back on the street afterward.

I love that idea! I wonder how you'd compel people to pay the tow company in a timely fashion, though? If people left it until their next registration, I suspect a tow company couldn't wait that long. Maybe (when you're in charge) they tow the car, put it back and put a boot on it?
Anyway, none of this is likely, alas.