Yea... Any monster not more or less immune to bullets automatically loses in a fight against the modern military.
Except they are more-or-less immune. Unlike any other creature I can think of, a zombie has to be shot/stabbed/whatever in the brain. Modern military and police units train for body shots to knock down enemies and cause death via blood loss or destruction of vital organs. You could literally cut a zombie in half with a gatling gun and it would still just keep coming towards you.
So many ninjas @_@
At last check, zombies would not be immune to napalm, flamethrowers or FAE ordnance.
Miltary: 1, Zombies (and any other form of life in the vicinity) 0.
Now if they develop fireproof zombies...we're fucked.
Now, that's something I've never seen a satisfactory answer to in any zombie media. We've got helicopters and bombs and the like. Hell, we could probably anchor a blimp close to the ground and have a drunken shooting spree. How do the zombies stop them?