I can't say that he's going to make me more likely to vote for Hillary:
http://www.ontheissues.org/Domestic/Tim_Kaine_Gun_Control.htm
"I have long been a supporter of what I think are reasonable regulations, the kind of contemplated, frankly, by the Second Amendment, and I think those and others would be reasonable," Kaine said. "In Virginia we worked in the aftermath of Virginia Tech to do some important things on the databases of folks who have been adjudicated mentally ill and dangerous so that they couldn't purchase guns."
Kaine's backing of McCarthy's measure is not--at least in these times--necessarily surprising. Though he is a prominent supporter of the Second Amendment, other gun rights enthusiasts have said they are open to the idea as well.