I echo what everyone else has said about snow tires, though I will also say that I don't really think the Model S is any better in the snow than a similarly sized ICE car. A lot of ink has been spilled about it's TC system, which supposedly works better than similar systems on ICE cars because of the immediacy of the torque.
I just haven't found that to be true. The TC is certainly better than first generation systems like the one I had on my E46 M3, but it doesn't do anything particularly better or different than the system I had on my last RWD BMW (an E90 M3). In fact, that car was probably better in the snow than the Model S because it had an honest-to-god mechanical limited slip differential.
I went through our first snow storm this year on the OEM Michelin all seasons, and ordered a set of snow tires as soon as I could after that. The snow tires I ordered (Dunlop Wintersports, which were the only thing in stock at Tire Rack) are certainly better than the Michelins, though still kind of middling when it comes to real snow.
For perspective, my other car (an AWD Golf running OEM all-season Pirelli Neros) is much, much better in the snow than the Model S on Dunlop Wintersports.