I agree with most of what Uncle_Al had to say, except that your 3000GT was a front wheel drive vehicle. I had a Dodge Stealth, and it was great in the winter. Just remember that the Crossfire is a rear wheel drive car, and it will handle quite a bit differently in snow.
And do search through the old postings. There is alot there.
I drove my car every day loast winter excpet for two really bad snow days. IMHO you will need snow tires, if yours comes with the Michellins.