Some people need to understand that if they contribute to the chaos at the stage door, Julia will get sick of it and start sneaking out another exit, like some other performers do (Joanne Gleason, Rue McClanahan, etc.)
I think the management of the theater should have foreseen this and come up with some reasonable crowd control ideas to keep fans safe and Julie at ease while the signing goes on. Otherwise, I don't see this lasting very long. There is a reason why she has bodyguards, if this chaos goes on, trust me, there will be fewer signings.
Boy From Oz and Sweet Charity had pretty good crowd control, too, in addition to the aforementioned WT.
The meat is always leaner on somebody else's dinner plate!