Drove it through the last Boston winter on General Altimax Arctics with no issues getting stuck. I did replace my front bumper since I cracked it on a piece of ice that was in the middle of the street.
FWIW, if you live in a snowy climate, skip the winter performance tires and get winter tires. It makes a big difference. The same WinterSport 3Ds off my WRX were not nearly as good on the BRZ.