@Kevcules , I am guessing you haven't read the Coldest Ride Contest game thread in this forum.
My coldest ride to date was just over 65 miles at -15.7F (-26.5C) (I was carrying an accurate digital thermometer since the bike temp sensor doesn't read below +14F or -10C). There are many riders I've read about who have gone riding in much colder temps. The Dan is one, but I've read of some who took the road to Alaska in winter or who have ridden in Siberia in much colder temps than that. I've gone on many rides, mostly my commute to work while I was still working, at temps between -12F (-24.4C) and ZeroF (-17.8C). I almost always verified any route I was riding before going out on 2 wheels to make sure there was no ice/snow on the pavement
where my wheels would be. I never cared if there was many feet of snow off to the side of the road or on the shoulder as long as I didn't have to ride there. Pavement can be very dry in very cold temps. When I couldn't or didn't pre-check the route I used many online weather sources, including the DOT, to verify pavement conditions. I also paid close attention to how much moisture might be IN the pavement since that can leach up and freeze.
Tire rubber does get harder in cold weather. But not as hard as many seem to think. It is still flexible enough to grip the dry pavement when starting out. And as has been mentioned as you roll on down the road it warms up and becomes more flexible. Not as flexible as on a hot sunny day in July (for those in the northern hemisphere) but plenty flexible to grip as long as you don't get crazy and just ride moderately.
The bigger concern while riding in very cold temps is YOU. Make sure you are warm enough. Staying alert and attentive while you ride is important and being cold for very long will diminish that a lot. Those of us who regularly ride in cold temps have learned what gear is needed to stay warm and comfortable regardless of the temp... to a point.
Oh, and don't forget to verify your tire PSI since cold weather WILL drop that significantly.