That's interesting. I've seen the argument raised frequently that any competent military would be able to defend itself handily against a horde of brainless zombies, but I think it's impossible to make that prediction due to the freak-out factor.
Even a military that will stay at its post and not rush to protect loved ones during a normal invasion might behave unpredictably in a zombie related situation. For instance, what proportion of soldiers would decide it's the end times and see their first priority as getting to church, to pray and await Jesus?
Which reminds me. So when the frak is World War Z