When we say "an armed society is a polite society", it is a two way street.
People tend to be more polite to you when you are armed. That much is obvious.
But I think WE tend to be a LOT more polite--even to rude, drunk, obnoxious, or stupid people--when we are armed. Carrying is a HUGE responsibility, and I, for one, know that I am MUCH more polite when I carry, because I know that PERCEPTION is everything, and I want to be perceived as peaceful, polite, and non-threatening.
Sounds like you handled that situation well...