To seek out the highest rate of gun violence, look no further than gun-free zones in America.
You're setting up a false dichotomy. Outlawing guns, and complete unlimited rights to fire arms aren't the only choices available. To say their is a spectrum of possible choices is simplifying it, there is a high dimensional landscape of possible policies and they lead to many outcomes.
https://en.wikipedia.org/wiki/Firearm_death_rates_in_the_Uni...
I highly doubt you'd be in favor of such a policy.
As a counter data point, the police chief of Detroit recently advised the city's residents to carry guns for their protection. The reaction on right-wing blogs which covered this was applause.