I will agree that performing is an actors job.
This is my issue though, if it were a desk job somewhere no one is going to come up to you and say that report you created changed my life. *ok... MAYBE that will happen. but it's not likely*
However, performers have that ability to connect with the audience no matter what medium they're in. They have the ability to make people forget about everything else in the world and let them get away for a couple of hours. This connection is especially obvious when it comes to live theatre. Because of this connection, the audience feels closer to that person which in turn fuels the desire for a one-on-one interaction. Yes, I'm aware that the actors are playing a ROLE.
I will say that this really wouldn't be an issue if there weren't crazy stalkerish fan-girls/boys of the various shows that are out there. But, honestly there IS, in fact, a respectful way to approach someone on their way into the stage door.
First look at your watch. If it's getting close to call, usually about 30 minutes before "places", then please let them just go into the stage door. However, if someone is 2 hours early than the call, NICELY ask them if they have a moment, but don't be offended if they say they don't.
It's as simple as that. well maybe that's not exactly simple.. but that's the way i see it.
Performers perform, but that doesn't make them deities who shouldn't be bothered outside the theater. Like it or not, they're celebrities to us and our ilk. This kind of behavior comes with the territory. What's the difference between after and before the show? After the show they might not want to sign/ talk. They could be exhausted. There is no PERFECT time to hang at the stage door.
When you do it, just be courteous.
anything you do let it come from you and it will be new.