The evidence was in the link I provided earlier. 11k gun homicides added to the 414k non-violent gun crimes still only results in about a total gun violence rate of 1.8 per 100k population:

https://www.nij.gov/topics/crime/gun-violence/pages/welcome.aspx

Compare that 1.8 rate to a total violence rate of 387.1 (using matching 2011 data). That's a gun violence to total violence rate of 0.05%

http://www.disastercenter.com/crime/uscrime.htm