Or you could end up with a lot more cocky, arrogant, brash, rude and flat out crazy people that know if anyone confronts them they could pull their gun 1st.
I kind of lean towards the wild west analogy, because not only would good natured people have weapons but so would the stupid, immature, bad and crazy people. Those people who do not respect everyone else around them wouldn't think twice about drawing first to end a confrontation and you could end up with just as much if not more violence. You could also have really calm nice crime free towns as well.
Just remember it only takes a few bad apples to spoil the whole batch.
Common sense dictates otherwise. The hot headed types wouldn't last long. And people, knowing that the other is armed, are far LESS likely to start trouble.