While I'm getting tired of the whole Zombie thing, a fundamental question is "What type of zombie are we looking at?" Are they slow (the walking dead), fast(Zombieland), human ant (the World War Z trailer), or god forbid - a Black Lantern*? Each type takes on special requirements on how to fight.
Personally, I think that the best bet to fight them off would be something like a
PH.75. It gives you the range that nuclear offers, while having lots of space for supplies and embarked craft. Smaller craft are good also, but I tend to think big. If you don't go big, then you need to go for stuff that doesn't break often. I try to come up with more detail later.
In a Zombie Apocalypse it is every man for himself.
And any form of government would collapse in days.
Shut up. You really don't know anything about human interaction in disaster scenarios.
Well the best equipment would be either Russian or Chinese as it tends to not break as easily as NATO/western equipment.
*If you're up against Black Lanterns, the only hope is the White Light of the combined emotional spectrum, or the Kryptonian Tech that can duplicate it. Either way, you're in real trouble.