It's slippery here now, yes. We have had snow here now for about 2 weeks, but I didn't have problems until yesterday. There was a foot of wet and heavy snow on the bikepath. I'm still on knobbies (saving for some real Nokian studded) and with the normal 65 psi the wheels cut through the snow to the slippery ice beneath so I had some searious gravity-problems. After I let out almost all the air I had some flotation and good traction, max speed around 12 km/h.
After I got off the bikepath I noticed that I probably let out too much air, I could feel the rims hitting the ground every now and then. The rolling resistance was immense though.

Today I rode with rather low air-pressure to have traction on the icy sections, but had no problems with snow.

Try reducing the pressure, it's amazing how much grip you get. If it isn't enough you need studded tires.