Well, yes. The US Army does publish a few games, and they're pretty much meant to be recruitment tools. They aren't strictly speaking promoting war, but they are promoting joining the army. They have the added bonus of planting some military ideas in the heads of potential recruits, such as basic tactics, patriotism, and all those classic military values. Should help ease the training/indoctrination process a little bit.
But other games, like the Call of Duty franchise, aren't so much promoting war and/or recruitment as they are selling a fantasy, just like the rest of the entertainment industry.

"The worst part about these reviews is they are [subjective]--and their scores often depend on how drunk you got the media at a Street Fighter event." — Mona Hamilton, Capcom Senior VP of Marketing
*Image indefinitely borrowed from BrainBoxLtd without his consent.







