Years ago myself and a few friends made some ice tyres for our tc's.
We took an old firmish slick tyre and got drawing pins, belted the tyres with tape stuck the tacks through then taped the back of them and used a hard insert. Then took a dremel and cut all the spikes down to about 2-3mm high each.
They where quite fun to drive on, very slidey but you had a bit of forward traction at least. We only messed about in a driveway with a few of us didnt actually do any racing. I recon it would be awesome to get a bit of nice smooth ice and hold a meeting racing on it. Don't fancy marshalling cars on ice with metal spike tyres though
As another note, doing doughnuts in a quad on ice polishes it quite well