It snowed a few years back - yes. I wouldn't bother changing your tires. When it snows, they're initially so unprepared that they just close it entirely until they can get a plow in there. Once it's plowed, you'll be fine with those tires. Worst case scenario, if it's closed, you can detour around Tehachpi pass... Different tires and/or chains aren't going to help when they've simply closed the road.