I live in Ontario,Canada, near Detroit, MI. We get lots of ice and snow, sleet and slush. In the last 25 years, the wife and I have owned 9 FWD Chevrolets, the first being an '80 Citation.
I've had my '06 HHR LS for 2 winters now, and never have had a problem in the snow. I live in a town (15,000 pop.) on a major 4 lane road to a subdivision. I sometimes get in 3 to 6 inch piles of snow and such with just the stock Firestone Affinity tires with no problems.
If you travel on secondary or back roads, Michelin Blizzaks have been recommended for this vehicle.