All branches are valuable in their own ways, but generally I think the Army sees the most hardship. The Army has been the primary fighting force in OIF, and while the Marines are involved in very dangerous operations, they do their jobs and leave after only a few months. Soldiers are there for up to a year or longer, fighting the fight, but also rebuilding, providing security, training Iraqi forces, providing medical care for the citizens, etc. Our Army is an immense fighting force filled with skilled professionals who have bravely answered the call to serve.
Not to take away from what the Marines, the Air Force, or the Navy have done to support recent military action, but I firmly believe that the Army is the backbone of the US military.