So, the only way to handle the issue without having godlike powers is to take all of them.
Can't be done. Impossible. You are dreaming.
As long as we are going to wish for the impossible, I wish that all the people who are willing to hurt others would simply be kind people who don't want to hurt others.
If you want me to believe that you can keep guns out of the hands of violent criminals, first show me a place where junkies are unable to buy crack cocaine. Crack cocaine is not legal for anyone, anywhere... we have Draconian laws about it and those laws are enforced.
And yet the junkies are able to get their fix, week after week. (Most violent criminals who have a gun don't get a new one very often... certainly not every week.)
Thus, our choices as a society: either only criminals will have firearms, or everyone will have firearms. And Gary Kleck's research shows that legal firearms in the hands of ordinary citizens deters a substantial amount of violent crime each year.
I read an essay that I found very moving. It was written by a guy who worked for civil rights for black people in the deep South in the 1950's. He said that he will forever be opposed to any attempt to make it illegal for law-abiding citizens to have guns, or to give the police department authority to decide who may have guns and who may not. Black folks being legally armed prevented an uncountable but nonzero number of lynchings, and he said in some cases the local recruiting station for the KKK was the local police department.
TL;DR If you take away the legal defensive uses of firearms you will increase the amount of violent crime (by preventing some violent crimes from being deterred) and you will not prevent violent crime because criminals will still be armed.
Sure, the link between handguns and violence is obvious.
Handguns can be used to commit violent crimes, but they do not cause crimes. Violent criminals regard a firearm as a necessary tool of their trade, and they will have one.
If you somehow got the magical ability to get rid of all the firearms, people would still kill each other with knives, blunt instruments, and hands and feet. More people are killed by hands and feet each year in the USA than are killed by any weapon in the UK each year.
In the past two decades, the number of firearms in the USA has dramatically increased while at the same time the number of violent crimes has decreased. If guns caused crime, this would not be the case.
So, in the end, you and I want the same thing: as few violent crimes as possible, ideally none. We disagree on how best to achieve that.