Winter Driving in Minnesota: Can lowering a car improve how it handles in on icy / snowy / slippery roads?

I own two cars that handle very differently. When driving my 2001 Jetta, I can take sharp turns and not feel as much of the force, for example. However, my 2000 Hyundai accent feels higher and I feel the force of the turns. Its also a terrible winter vehicle and feels like a hockey puck sometimes (had it for 10 years). I plan on getting winter tires soon which should help a great deal, but I have been wondering if lowering the center of gravity might help. Am I right? Would I notice a difference? If so, how would you do it?