Well, in all actuality, the U.S. (and coalition forces) waged an exact copy of a true blitzkreig against Hussein's forces.
This overwhelmed the Iraqi military, resulting in a quick and decisive victory against thier military. This was the main objective and it worked perfectly against forces that were expected to put up a serious resistance. The aftermath of the Iraqi defeat was expected to be an orderly one where the new government and infrastructure would be established quickly. Because of religious extremism, the insurgents became a stumbling block to the ultimate goal of establishing the above-mentioned government and infrastructure.
The difference here between the German victory over countries like France and the Coalition victory over Iraq, was the Germans intended to stay there and were not worried about how they were going to keep the peace there. The coalition troops on the other hand, did not plan on staying there since thier goal was to remove Hussein and his posse and give the country back to the Iraqis, leaving as soon as that had been accomplished.
The main lure of the insurgents to that region, was pretty much an exciting chance to kill Americans for whatever reason they had been told by thier religious leaders and such, although they ended up killing not only Americans and coalition personnel, but plenty of Iraqi citizens along the way. Here too is a difference between the German occupation of France and the coalition forces of Iraq. The mobs of insurgents were killing everyone in the name of thier religion while the organized French resistance was primarily targeting Germans for the liberation of thier nation.
Two different wars with two different outcomes as a result of similiar successful offensive tactics.