If you ask anybody that doesn't play violent video games for their opinion on them. You will be met with the false idea that they are the motive behind school shootings and many other crimes commited by minors.
The truth is, youth violence has declined drastically in recent years as compputer and video game popularity grew; according to FBI statistics.
If you want your children to remain unexposed to violent video games, that is up to your parenting. A full ban would be pointless as parents are the determining factor. The government doesn't parent your kids. YOU DO.