How would the U.S. military fight attack by a zombie army?

"We need to understand the zombie threat before we can formulate a practical plan for combating it. A review of zombie movies tells us they have the following common characteristics: they're generally slow, stupid, and unaffected by bodily damage, they don't have working circulatory or respiratory tracts, they're not fazed by heat or cold, they can't drown, and their thought processes are degraded to the point that shock and awe don't have an appreciable psychological effect. This leaves you with basically three options: immobilize them and leave them to rot, decapitate them or destroy their brains (they apparently do still have central nervous systems, demonstrating that even a modicum of intelligence can be a fatal flaw), or obliterate them entirely.