Gun rights have been systematically (illegally) denied the demographics that comprise the majority of those so imprisoned, which furthers the argument that large cross-sections of the population being armed reduces violence.

> Your police forces routinely brutalise and oppress large parts of your population even though (or perhaps because) you are all armed to the teeth.

Those are the groups frequently denied weapons. The police generally actively avoid armed confrontation with those they know to be armed (such as we recently saw in Texas). This is one of the reasons it's so easy for them to shoot and kill (mostly unarmed) minorities.