Do they? I think you're about right.
No, and you can verify that by a bit of research if you're interested.
I suspect that is the perception of those carrying guns. The situation in America has so out of control that the police aren't capable of handling riots anymore. That is, unless they resort to deadly force with real bullets. Is that what you're advocating. If so then don't ever again criticize China's response in Tiannemen square.
I don't need to contemplate citizens needing to carry guns to do the police's job. When, or if a country gets to that level of violence, I would say that it's teetering on the edge of anarchy, revolution, and fascism.
You raise some good questions! Keep it together and we may be able to have a fruitful discussion.