War movies are fun to watch (even if just for the inaccuracies) but if you're really interested in these conflicts, watch some of the documentaries by embedded journalists. There have been quite a few decent documentaries to come out of the OEF/OIF conflicts.
I can't say that all politics has been kept out of them 100%, but most of the films I have seen regarding these conflicts actually do a fairly good job of depicting the combat zone, life in it, and the general nature of war and what it entails (camaraderie, emotions, etc.) without a significant slant for or against the war.
While it's not a movie, journalist Michael Yon has some excellent dispatches on the war in Afghanistan. He has been on several overseas embeds (2 Rifles, USAF CSAR, etc.) and each one turns out better than the next. He respects the troops, but keeps politics out of it; the troops he has gone on embeds with like his reporting and enjoy his company, a feeling many "political" reporters in combat zones don't experience. His dispatches are easily available online if you do a search for him.