I'm arriving at Heathrow Wednesday morning at 5:55am on an international flight. I have an almost impossible connecting flight at Gatwick. I'm a bit shy and wouldn't typically ask people if I could cut ahead of them in the customs line, but I think it might be the only way to make the 6:40am National express bus to Gatwick.
What is the typical protocol for this and what are people typical reaction to someone asking to cut through the line?
Here is the thread that explains the situation: