Again, I agree that the OP did a good job at defusing the situation.
However, his first thought was to reach for his gun! You can see how this could be troubling to some who don't know the OP.
Blackfeather hit the nail on the head! If you are only confident when carrying a concealed weapon then you might want to get some basic hand to hand defense skills under your belt.
I know that's easier said than done in today's real world of 'not enough time in the day', but it's something you might want to consider.
After all, the best confrontation is one you can verbally talk your way out of. Never draw unless physically threatened, and you feel you cannot protect yourself otherwise. Fleeing the situation, especially with children present, is not always the cowardly thing to do. It might not fit into your list of 'manly' things to do, but it is a possibility.