No they don't. Reducing violence is just the LIE they broadcast to the soccer mommies and emasculated men in order to sell their real agenda of a total ban on all firearms. The Leftists know that eliminating legal ownership of firearms will result in an escalation of violence as demonstrated throughout history. That's what they want. Because when the sheeple fear for their lives, they will gladly trade their freedom for the promise of big government protection. This eventually leads to tyranny, which it the ultimate goal of the Left.