I live in Norway so I'll chip in. Carbide-studded tyres are the only option I'd consider, apart from a trike. 20 years ago I was practising on ice and snow on a mountain bike with ordinary knobblies. Two days in a row I wiped out and fell on the same point of the left hip. The second time, it broke and I still have a plate and spike in that joint that took several years to get over fully. After a while I became a runner instead.
Plenty of people cycle with spiked tyres and learn to be circumspect and not in a hurry. Having said that there are appreciable risks (also of other vehicles sliding into you) which you should be realistic about. Another possibility I used when I insisted on cycling in winter was a recumbent trike.
If you get way too hot yet you want to cut the wind, then a Goretex Windstopper product is the obvious answer. "Thin" is an advantage, not a drawback, because then you can choose the layering rather than have insulation dictated by one item of clothing.
Yes, I agree with Surrey Runner: Vivobarefoot make some that are perfectly acceptable for work and go fine with a suit. I got a black pair recently that had a slightly matte finish; I just gave them a polish. Secondly, I sent of for a pair of Lems from the States. Thirdly, I use some Ecco, which if not zero are at least low drop.