It turns out that you don't need to shoot any cops. You just show up armed to the teeth, and they leave you alone. They'll even stand aside while you muscle your way into state and Federal government buildings. (Of course, this only works if you're white, but never mind that.)
Other armed (or even merely suspected to be armed) people see a more violent, not less violent, response by police.
Correct, and we're being told that the solution to that is to take away their arms. This is, of course, perfectly consistent with the original political motivation behind gun control.
Statistically speaking, if your death has a violent cause, it will happen at the hands of your own country's police or military forces. That's not a concern here in the modern-day US, but this is a historical aberration, one that may not prevail for much longer. Unilateral disarmament probably isn't the best strategy.