I'm afraid I don't share your viewpoint. I know from experience that most criminals are not going to give you any notice that they have a weapon, until it's too late for you to do anything about it. " They represent an elite group of people with the proper training and psychological stability to use firearms for the public good. They are actively monitored for psychological problems, they are trained to distinguish friend from foe, and they are trained to store their service weapons properly." Where the hell did you get that? SOME police fall into that classification, BUT they are a very small minority. The majority of this country is composed of small towns, with small budgets, and small minded people. Quite often that get whatever they can find: Jocks that were bullies in school and aren't smart enough to do anything else, prior military, or ex-military (there is a difference), guys that normally would be part of the problem instead of the solution. I've seen several corrupt police forces. One thought they should hunt down my uncle and help him have an "accident", but being prior military, and having a gun, he's lived into his 80's.
This is a chaotic country, with a culture of chaos. If you don't like the idea of weapons being in the hands of the populace, stay out. It's part of the trade-off for having certain guaranteed rights. Paradise doesn't exist except in a childs' book of fairy tales.
Take a quick look at the Wikipedia pages for gun ownership per capita by country, and list of countries by intentional homicide rate. If your correlation was accurate, that gun ownership equals crime, the US should have the highest crime rate to go with the highest gun ownership. It doesn't. It's running around 4.8 % with the majority of Africa, South America, Asia, and South-East Asia being quite a bit more dangerous. Considering the list a little closer, except for China and Japan, gun ownership rates tend to correlate to SAFER countries. On the face of it, your theory fails.
Yes, I know. "Numbers don't lie, but liars use numbers." So research for yourself, and decide for yourself. Not for me.