"I don't know that America has a problem with gun violence. you have not demonstrated that."

Really. You didn't provide ANYTHING in terms of prove for all the claims you made. And you expect ME to prove something that is that well known? The charts on gun violence all accross the USA are through the roof compared to any other of the industrialized nations. The only two European nations with a higher homicide rate (homicide, I'm not even talking about gun violence alone) are Lithuana and Russia. The USA is by far the least safe of all the western nations and that's despite that your country is basically a giant no mans land compared to Europe, where the poplation density is a lot higher. 31% of all mass shoutings worldwide happen in the USA.
To debate, IF the USA has a gun violence problem is to put it generously: retarded.
We can debate WHY the USA has a gun violence problem, though.
And I'm not going to give you sources, just google it. It's such a well known thing that it is insulting of you to suggest, I'm in the burden of proof here.

"where as guns go up gun homicides go down is so important"

There. That's exactly what I meant. Where is your citation on that?!

"Yeah, that's another popular theory of the anti gunners, that fewer and fewer people actually own guns"

I never said that though. And can you explain to me what exactly an "anti gunner" is supposed to be in your world view?

"they track how many people ADMIT they own guns to researchers"

The polls are annonymous. They don't really have an incentive to lie. And even if you have a few liers in there, it'd be a stretch to claim, that it's common to lie in this instance.

"25 years ago, when gun homicide rates were at their peak only a handful of states allowed concealed carry, now all 50 states do many without even requiring a permit, and gun homicides are at record lows."

Even if that would be true, which you would have to demonstrate, as you suggested I do with the gun violence in the USA, how the fuck would you be able to derive anything from those numbers? If it's legal to buy a gun in any state, and you don't have any state-to-state borders, everyone can get a gun any time they want.