Without guns, there are still pipe bombs (Boston Marathon bombing), truck bombs (Oklahoma City bombing), mail bombs (The Unabomber), and other mass murder options for those with ill intent, to say nothing of poisons, biological weapons, etc. Banning guns will not address the root cause of the violent impulses, and only serve the demonstrate the Politician's Syllogism yet again.

Using real government violence against peaceable people who have harmed no one does not solve crime, it institutionalizes crime. Governments are by far the greatest mass murderers in history, and democide dwarfs "private sector" murder rates. You present raw numbers of incidents, not deaths per capita. You also treat the US like a homogeneous whole when it has more states, more land mass, and about 3/4 the population of the entire EU.