Speaking for the western part: no they don't. No even close to the majority of criminals have guns (I don't dispute that they have easy access, though). You'll be hard pressed to find street robberies at gun point in Germany, France and the northern countries.
In France you hear about guns, but I lived in 8 different cities there, and I never been near any gun attack. None of my friends or relatives either.
If you have gun here, people look at you in a strange way.
Everytime me or my bro got in trouble, it was fist fighting. I got a knife once. Some of my friends got messed up. Fist again. In france, the UK, germany, Italy and spain.
I don't say there are no guns. I'm saying that it's not even of the same scale of occurrences than in the US.
If you fail to take regular firearm training, combat training or to acquire the necessary mindset for a gunfight under live threat, then you are even more fucked if you try to use that gun you are carrying to make you feel safer...
Only the people who get attacked don't have any guns, and they get fucked up.