You're closer than you think Reznor.
Some of us, especially the libertarians (Ailaros and myself), think the guys that founded our country had some damn good ideas, and hold the constitution in very high regard. We'll admit its not flawless (and therefore not supernatural), but it can be rather vague leading to a lot of competing opinions of what they meant (like that rather famous book you mentioned). We may also give the impression of it set in stone, because as it stands now it is impervious to normal laws (must be amended), and all the laws trying to skirt it are illegal.
There does seem to be a vast divide in mindset between europeans and americans. We find your blind altruism, while well intentioned, lacking consideration of real world results and human nature. You see our individualism and self reliance as callous, greedy, and self centered.
As far as comparing violence vs gun levels between europe and the US, you have to consider many more factors than just number of guns. Most European countires are predominantly single cultured. America, the melting pot, is a largely multicultural nation, a bit of an oddity at that. Compared to other ethnically diverse countries, I think you'll find we get along remarkably well. Take the former yugoslavia for example. I'm not saying this either is the predominant cause, but it must be considered. Compare crime rates between different ethnic groups in the US.