I don't even know where to begin to respond to such a position. Video games are as much a learning and entertainment media as any other audiovisual materials such as television and film. It is also such a varied media that to say "videogames are violent" is equivolent to saying "films are violent". Are some violent, sure, but such a sweeping statement smacks of ignorance to that fact that videogames are containers for content. It is the content, and specific content at that, which is or is not an issue, and any argument should be framed as such.
Even most studies on so called "violent" videogames are inconclusive at best:
A helpful reminder: Video Game Consumption is not correlated to gun violence - Boing Boing 1/18/13
From Halo to Hot Sauce : What 25 Years of Violence Video Game Research Looks Like - Kotaku 1/17/13
Again, its too sweeping a statement to make that does not consider additional factors that could contribute to "violence" such as other environmental stimulus (of which a thousand different factors could be considered as well as genetic predispositions ( a little more controversial, but nonetheless a possibility).
For that matter, when we throw the word "violence" around, what it is we are we really referring to?Are we referring to violent acts, violent tendencies, violent behaviors? If either of the latter, what is our measurement and definition of these and how do we measure the impact of "violent" videogames on those measures?
For that matter, how exactly do we define a "violent" video game
All Games Are (In a Sense) Violent - TechCrunch 12/22/12
Also, what about the many videogames (web based, PC, console, mobile, etC) that are not violent? When we talk about videogames being violent and such sweeping statements, it is easy to sweep that many other genres of videogames available that are not "inherently" violent. Even the definition of violent for a videogame, I believe, is more subjective that many would lead on.
As to the question of why videogames may be first on the chopping block, my suspicious, which is only that, lies in the fact that this medium is still one that is not considered in the same intellectual way as music and moving image collections. There are many articles written both pro and con about whether videogames (in this case, certain games such as Journey or Shadow of the Colossus) can be considered 'art'.
MOMA enthusiastically endorses video games as art, why?
Video Games : 14 in the Collection for Starters - MoMa blog 11/29/12
Sorry MoMa, Video Games are not Art - The Guardian 12/30/12
Video Games Can Never Be Art - Chicago Sun Times (Roger Ebert) 4/16/10
The fact that this is still a "debatable" issue is indicative of why the medium is not taken as seriously by the library community and public at large even today. The focus still lies on the container, and not the content. If it was a content only argument, in my opinion, there would not really be one.
This was more of a rant than I anticipated, but I am really irked when people make such sweeping generalizations about any content media, which is just an easy way to make a point without having to deal the nuance and complexities of an issue.