I am kind of shocked that no one is recommending shifting into nuetral when trying to stop in an auto trans. Of course with a clutch just the same. It takes away the forward pushing and braking working against each other. I have to remind someone of this every winter and without fail I get a huge thank you!
That being said... Studded tires beat even Blizzaks on ice hands down. I buy new studded tires on average every 2-3 years for all my familys vehicles. Old studs are still better than not but new studs...I can hear them grabbing and I skid to a stop quickly. 40 Years here in the mountains of Colorado and learned to drive here before I was 10 (once in a while with parental consent....lol). I hear people compare their brand tires to studs all the time and have tried myself with a car that we couldn't get studs for, the only thing that comes close...those Yoko tires with walnut shells in the rubber.
Downside to studs....NOISE! I can deal with it as I just crank the stereo but I find the number one reason people dislike them is noise and price for a winter set of tires. You have to ask yourself "what does even a minor fender bender cost to repair and even worse a trip to the ER?!!