Democrats aren't much interested in politicians who blame video games for gun violence. This isn't the 90s anymore.
Then how do you explain that basically the only thing the Norwegian mass murderer Anders Behring Breivik did in the entire year before his mass killings was playing video games? No connection whatsoever? And it wasn't just any kind of video game. It was the single most violent there is out there. The combination mental illness and violent video games can be pretty deadly, just as the combination of mental illness and gun possession can be pretty lethal too.
Considering that he was a political extremist, I would wager that variable has a lot more to do with his desire to kill than playing video games.