NO, it's only socialized medicine if everybody has to have it AND the government pays for it. Which is not Mitt's plan. By your standards, auto insurance is "socialized."
Under MittCare, either you’re forced to pay for it, whether you like it or not, or whether you need it or not, or businesses are forced to pay for others’ plans, or the government pays for it. All of these aspects make it socialized medicine.
When it comes to the ills of our health care services in this country, government involvement is the root of all evil.