With the current marketability of everything zombies, the Borg actually wouldn't surprise me a bit.
They could easily make a story that connects the nuTrek crew to the Borg. Find a stable wormhole to the DQ that allows interaction and travel...and then destroy it in the end. Done. They could make a lot of money too with the Borg already being a known commodity in pop culture. And again, the zombie angle could make them a killing.
But I'd much rather see a Doomsday Machine story with some Klingons mixed in. It would combine an excellent (and big!) sci-fi Trek concept with the well-established JJ-villain they've already laid the foundation for developing.