Hmm... that gives me the idea of writing about elevator etiquette here. In the US, I never took the elevator, so I actually am not too aware of US elevator manners. Unless I had to go above the tenth floor (rare), I'd always take the stairs. Interestingly, taking the stairs isn't a common thing here. Sometimes I can't even find them! So I've gotten more used to taking the elevator in my years here.
Actually people in general are good here for elevators, but with trains... it all breaks down and I witness what you are talking about on a daily bases: the train pulls in, and everyone in line rushes the door so those inside wanting out have to fight their way out. It's nuts.