No, Three Kings paints a few AWOL oddballs on a quest to steal a treasure as benevolent, and apart from the whole theme of the movie being the ill impact of our involvement in the Middle East, goes out of its way to talk about how the US military killed children.
Three Kings is critical of the decision to encourage and promise to support an uprising by anti-Saddam Iraqis, then failing to deliver that support/not invading.
Whether you respond to this criticism by saying "we shouldn't have encouraged it" or "we should have invaded" or just "ain't war hell" depends on your politics, of course :)
* The training of US Army soldiers, who kill innocent and/or surrendering Iraqis,
* the relationship between the US Army and the media and the careful control the military exerts over the media,
* the entire US mission in the (first) Iraq war ("what are we doing here?", &c),
* the American bombing of Iraqi civilian centers, which, in a long monologue that is basically the heart of the movie, are revealed to have killed the antagonist's baby son.
There is no way to watch this movie and come away thinking that it glorifies the US military.
(Also: it's a great movie that is nothing like what it's marketing suggested it was; it's David O. Russell, who is a smart and funny storyteller, and is not a Clooney/Wahlburg action vehicle; if you haven't seen it, do! It's not a masterpiece of American cinema, but it's thoroughly engaging. Three stars.)