I don't have any fancy statistics to back me up here, this is just my opition, but I think that forcing everyone to arm themselves could lead to more gun-related crimes of passion and panic because not everybody has the self control to stop themselves in the heat of the moment. In fact I'm curious to see what happened to the rate of suicide in that town that required each household have a gun. That being said, I don't think that NO guns are the answer. I mean, okay personally I'd be okay living in a world without guns, but if it makes you feel safer to carry a gun around then that's your right. Who am I to tell you how to feel? But I DO believe in gun control: waiting periods, background checks, people who have committed violent crime with a gun losing their second amendment rights, required gun safety courses... heck--I'd even be okay with a psychological screening process. And I think the people who really do want to have a gun, if they don't want it for sinister reasons, while maybe frustrated by the hassle of the process will still deal with it. I think it's more about personal fear and power than the constitution.
Personally I'd be more afraid to live in a place that required everyone to carry guns--you never know what will make a person snap and if a person's going to snap they're going to snap regardless of how many other armed people surround them. The flip side of that argument is, of course, if somebody snaps and pulls a gun to shoot me I would be able to pull a gun of my own and shoot back at them in self defense. But knowing who I am as a person, I would be more likely to cry and wet my pants when faced with a loaded gun than pull out one of my own and go all Dirty Harry.

But that's just me.
