"My idea was to take a student ID and a regular ID, write the license number ON the ticket, and check it at the door."
Would you really want to go through that much trouble when buying a ticket? Yeah, I'm sure it will significantly reduce the scalper problem, but when you are trying to fumble around for your license at the entrance while hundreds of other people are waiting to just get in the show, it's not a great idea. Somehow the box office has to find ways to prevent the scalper problem while minimizing confustion and interference with other people who bought tickets. Right now, this seems to be the only solution until they figure something out. Perhaps when things slow down at the end of the summer, they'll change their policy.
"Though I always thought every rush, including lotto, should be limited to NYC residents."
Even though you say you are being a bit "sarcastic, but not really," that is one of the dumbest things I ever heard. So what if a tourist wins a lotto? Everyone's given a fair chance. Besides, at least NYC residents have the opportunity to go back multiple times to try to win a lotto while tourists might only have that one shot their whole stay. Also, I'm not a NYC resident, as I'm sure are many others here. I wouldn't call myself a dumb tourist, but why should I be denied the chance at student rush because I don't live in NYC?
"We like to snark around here. Sometimes we actually talk about theater...but we try not to let that get in our way." - dramamama611