I think the real question is, Zombies vs Borg.. who wins?
And will the Borg try to assimilate a zombie?
Hmm, there's a question I've never thought to ask. I think...yes! Zombies have an amazing attribute - they can be dead and yet still shamble around, hear sounds, make sounds, eat things, tell when something is good to eat (wriggling around) and when they should turn their noise up at it in a very feline way (canned ham? please!)
Pretty impressive. The Borg would pass up mere ordinary humans, Vulcans, etc in favor of assimilating such a unique species.