If violence in video games leads to violence in the real world, so what? Making fun of Muhammed or Allah can lead to violence (or any number of other religious leaders or deities); telling someone they're gay can lead to violence; drinking can itself lead to violence. Even showing news of something gone wrong, could arguably lead to violence.
If a murderer enjoys the same thing that I enjoy, that in no logical way itself assumes that I have anything in common with him, certainly no more than what he probably shares with a variety of pro-war politicians.
If a murderer enjoys the same thing that I enjoy, that in no logical way itself assumes that I have anything in common with him, certainly no more than what he probably shares with a variety of pro-war politicians.