For clarity, the center diff is a viscous coupled unit, similar to an auto transmission's torque converter, or a fan clutch, in that it uses fluid to "lock" the center differential, but since it isn't locked mechanically (unless you engage 4H locked) it still allows a difference in rotations between front and rear wheels.
Lots of good tips so far, except airing down ON the road. I would not do that. A narrow footprint increases your contact pressure, which in shallow snow, ice, slush, etc, is exactly what you want. Wider tires tend to plow the snow instead of cutting down through it, and aired down tires are also wider tires, with less contact pressure.
Snow tires are made of a compound that remains pliable below 7* C, and this is one of the reasons they are preferable in the cold. I have Blizzak commercial tires on my wife's gen3, and it is able to go anywhere, regardless of the roads. On my daily I've got KO2's, which have been improved for the snow from the KO's. I also see gravel and mud on my commute, so I live with the compromise of not having dedicated snows.
One tip I haven't seen yet, but sometimes useful - on the gen3, the ability to start off in 2nd gear is sometimes helpful, in really slippery conditions. Come to a complete stop. Shift the selector to manual mode, then bump it to second. Proceed slowly, with often less slip. (some earlier models had a HOLD button, which accomplished the same thing).