While I think sports, video games, etc. are not intended to instill military values, I do think that many aspects of our society, including these activities, normalize warfare in particular and violence in general. I don't think this is conscious, but it seems pretty clear to me that we are a martial society. We declare wars on poverty, drugs, terror, etc. The national anthem of the US is a narrative of a battle. Since our founding, many have associated guns with freedom. Professional sporting events often feature military units presenting colors, or military jet flyovers. This is not a value judgement, but it seems to me to be a pretty pervasive (if not necessarily unique) aspect of our culture, and I think our games, both video and athletic, are expressions of this.