What the chart shows, unambiguously, is that more guns DOES NOT lead to more gun violence. Wasn't that your original point?
"Gun violence" is down by about 50% since 1992, while gun ownership in the US is up by quite a lot, hence it is either ignorant or malicious to claim that "more guns equals more violence".
I suppose you might claim that violence committed by people using guns would be down even more if only we had "common sense gun laws". That would be a proposition that would be more difficult to argue against, except from a civil rights perspective. In places that have outlawed guns, violence by other means has increased. To me, it makes little difference if a guy kills me by sticking a knife through my liver, or shoots a hole through it. In the UK, you are much more likely to violently assaulted than you are in the US, for example. To point to the UK as something to emulate seems a self defeating argument.
Final point, let's not forget that we live in a constitutional republic, at least that is my naive fantasy, and the government is constrained from treading on civil rights. Two A is a fundamental right in the US.