Funny question to be posting in February, ATCKawi.
Anyways, adding stabilizer to a fuel tank is recommended for any engine. Gasoline has a shelf life best described as "use me now". Sure it stinks when you burn off that first tank at the start of next season but at least there won't be stale fuel clogging your injectors. Topping off will minimize moisture that gets into the tank from condensation but I like to end up with about 3/4 tank to allow room to get a shot of fresh fuel in there for that first run of the spring. That also minimizes the effects the stabilizer might have on performance for those obstacle course rides around the sand piles. Adding a shot of injector cleaner to your tank, as MINI has suggested, is an excellent idea too. (just got back from Mardis Gras in New Orleans so shots are still on the mind I guess)
As for the tires, it's best to fill to recommended pressure. If you can get the weight off them using a lift or some other safe and cleverly crafted method then that's best. Otherwise, just roll the bike around a little once and a while, ending up with a different part of the tire on the ground. Never strap the bike down and exert any extra downward force on the tires and shocks!
Those were the procedures I followed before I found a better solution. The best way to avoid all this winterizing work and worry is to just ride the bike whenever the roads are dry enough. Forget the cold. Bundle up and ride as far as needed to circulate the oil, charge the battery and get your heart pumping. Your fingers will thaw out and your bike will be grateful. If you do leave the battery in the bike then it's important to have a trickle charger available for those times when the temps drop into the single digits or below.
I snuck in a ride today just as the flakes began to bless the Northeast with our latest blanket of white. Only eight more days to Bike Week in Daytona! I hope it's warmer there than here; say by about 50 degrees.