You're quite right that the us has a bad reputation in other countries.
I'm sure that the majority of US people are 'nice' but there are obviously a number of prats.
In the UK we now have strict gun laws, NO handguns and licences required for all types of guns. Therefore if someone has a handgun, they get arrested, if someone has another sort of gun, they get questioned.
It's very difficult for peoples of a country such as the UK to understand the American gun culture. The idea that most people have guns at home (for whatever reason) is frankly disturbing to us.
The earlier comments about burglary sort of say a lot, in the long run, what's more important, material possessions (which are replaceable) or a life, be it yours or the criminals (which is irreplacable) ?
As for carrying guns while geocaching !!
I had thought at some point it would be nice to do a 'caching exchange' i.e. invite someone to stay here and cache, then do the same at their place. Now I'm thinking, seeing as you're saying it's so dangerous, just to stay at home . .