I think as clerdick has already said winter tyres will help you, they will help you or allow you to pull away and they will improve stopping on ice, snow, or even a dry road at temperatures below 7 degrees. But you must not drive as you normally do, you need to slow down and drive to other people's limits not your own. They will not stop you quicker than summer tyres in August. So think of the pedestrian stepping of the pavement or walking in the road, the front wheel drive car that starts slipping on a steep hill or the BMW ( and other ) rear wheel drive cars that aren't going anywhere or if they do it'a all over the road and no stopping at the junctions.
If you think like this then hopefully you will drive accordingly and have a safe winter and keep your car in on piece.