The production cars will ride on 255/35/R22 Goodyear and 285/35/R22 Goodyear tires, but I'm not sure exactly how well they'll perform in the snow. Tires can always be changed.
With regards to the battery, I know Fisker Automotive has conducted extensive tests in cold weather. I expect the Karma's battery will be fine. For the lithium ion battery system in the Tesla Roadster, the car actually performs better in colder temperatures as it's easier to keep the battery pack cool (which is otherwise very hot). Only around -20F does the Tesla have issues, if I recall correctly.
With regards to the battery, I know Fisker Automotive has conducted extensive tests in cold weather. I expect the Karma's battery will be fine. For the lithium ion battery system in the Tesla Roadster, the car actually performs better in colder temperatures as it's easier to keep the battery pack cool (which is otherwise very hot). Only around -20F does the Tesla have issues, if I recall correctly.