Broadway_Boy said: "The stage door is never accessible if you're in the theatre, even if you leave early. You have to get there an hour before a performance ends to get a spot at the barricade. I have seen it on multiple occasions walking to the train from other shows.
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Absolutely not true.
I was at the show last night, the first post-Tonys performance. I managed to stay through the curtain call, including until the music completely stopped, before making my way out of the theatre from my front mezz seat. I don't usually do the stage door (I despise crowds, so keep in mind that all of the below is from someone who hates crowds to begin with), but my friends were staying, so I stayed.
It's very crowded, yes, but it's a very well-run, organized chaos kind of crowded. The security and NYPD before anyone even comes out announce basically "if someone comes out they will make it all the way down the line, so please don't push and shove. If it gets to be unsafe out here then no one will come out." and work at keeping a clear path on the sidewalk and getting people out of the street. The crowd around me (including yes some people who hadn't seen the show, I was next to a group of them - very lovely theatre kids from out of town who couldn't get tickets, so their parents (who were with them) were letting them do this stage door thing) were very respectful of keeping the clear path, moving when asked to by security/NYPD, shifting around so that people behind them could get things signed/get photos, etc., at least as far as I could see around me. (With the exception of one very annoying woman who was basically kicked out of the area by security - long story that I only saw the end of.)
And, true to word, the cast that did come out and sign made their way down the entire line, which extended maybe to halfway down the Les Mis theatre. I was at about the Les Mis stage door, and there were still people beyond me. Leslie ran out without stopping (no surprise as he was doing WWHL at 11pm), Pippa came out and signed but did no photos and was very gracious in repeating/explaining that she wasn't stopping for photos, Daveed/Rory/Renee/Chris signed, did photos, everything. And I really loved that the handful of ensemble that came out came down the line with their BC/EFA red buckets.
Honestly the only thing that I would worry about in that crowd is people passing the Hamilton books over people's heads to get them signed. That's one slip of a hand, book crash to someone's forehead/eye waiting to happen.
BroadwayMomma - if your kids want to do it, and you're ok with letting them do it then I say go ahead and do it!