On the surface it may seem that Americans have a real problem because of gun proliferation. However, it seems to me that where guns are a real concern is with criminal activity. The stories of the Old West are mostly bull, and the swaggering cowboy with his six shooter, ready to settle any dispute with a fast draw, is Hollywood myth.
Real gun violence seems more related to several key events. First was post civil war where the Southern irregulars continued to engage in guerella tacktics - bank and train robberies, some terror activities aimed at old enemies and newly freed slaves.
Next was the Prohibition era, which gave rise to both organized crime on a large scale and a dramatic increase in the use of firearms. Had booze not been outlawed, the violence would not have occurred because the criminal incentive of high profit from violent action would not have existed.
Finally, the Drug War has created a new opportunity for high profit from violence among criminals, and an added problem of making criminals of users and forcing them to seek quick access to large amounts of money. Again, dropping the illegal aspect of the core issue would likely result in dropped prices, dropped profits, and disinterest by the true criminals. The violence would drop dramatically.
Even with the government induced violence from drug policy, most of us in the US have never encountered even the immediate threat of violence from firearms as ordinary citizens.