I pre-stage doored once, for I heard it was the only way to meet Sutton Foster while she was at the end of her run in Drowsy. I had just finished playing Trevor Graydon in Millie at my high school, so I was obviously going to be a huge fan of her work, so of course I did it. No matter how big of a fan of someone's I am (and I assure you, above Sutton, Patti, and Audra, there is no other), I will never - I repeat - NEVER - pre-shpw stage door again.
Its not that Sutton was brief or "mean" or "diva-like" in any way - she was gracious and kind and signed my program and everything (even while her dog obviously wanted to get in out of the cold), but you could tell that it seemed to be an inconvenience. As the previous poster said - she does have a show to do.
Point is, I suggest just waiting afterwards. Hoof it out of that theater and get to the door. But unless you are in some sort of dire situation that permits no other way to meet these gentlemen, I do not reccommend pre-show stage dooring.
"The nice thing about the rain is that it always stops... eventually."
- Eeyore