I'm not going to pretend that I have any solutions to this problem. However, the same problems exist with any suggestions.
A lottery? With that many people trying to get tickets...you could never HEAR the announcements...and you'd have gads of folks storming the ticket windows to "check" if their number was called. Also: it's just a chance. How often can people go for just a chance? Yes, I know the same applies to just waiting...but I think there you have a pretty good guesstimate of whether or not you'll get in.
I cannot imagine the clean up that ensues from the line. What a horrid shame. I "did" the line last year for Hair, my first time ever. We got there at about 5 - 5:30 and were 20th in line, or so. We were still able to start IN the park, althought I think that changed about a week after we went. I didn't see any trash being strewn about, and in fact, was impressed how friendly everyone was around us. What a difference a "movie star" makes. (And I'm not trying to disparage Hathaway, just the "fans".)
If we're not having fun, then why are we doing it?
These are DISCUSSION boards, not mutual admiration boards. Discussion only occurs when we are willing to hear what others are thinking, regardless of whether it is alignment to our own thoughts.