Most accidents in the winter come down to "if only I had the extra foot of stopping power."
Winter tires will give you that.
If you've never experienced the traction of winter tires, you're in for something you've never expected. Get a newer set that isn't well worn.
I drove my lowered Camaro with good winter tires for 3 seasons. I went places most cars were not able to, no kidding.
09 Jetta CleanDiesel M6 Highline
85 325e M5
07 Honda Shadow Spirit 750