I have one of those Psolar breath warming face masks. It does what it claims to. Even when it's tenF, you breathe very warm, very very humid air.

I find the heat exchanger is better situated for mouth breathing, though. If you exhale through the nose the vapors really fog up your goggles and it seems to lose effectiveness somewhat as well as restricting your breathing a bit and soaking the material around the heat exchanger with condensation.

If the face seal on a mask were made from rubber such as one of those carpenter's dust masks or a painter's air filter mask, fogging could be eliminated.

Goggles are often necessary because even if you're quite slow, the wind can be very strong. That's one of the few weather conditions that can stop you cold on a bike: blasts of cold air which cause you to tear up.