They have the right to file petition in the courts and seek a judgment, but not to arbitrarily throw off federal law because their state government doesn't like it. First off, that would be anarchy. And second, there's precedent in favor of the federal government due to the unfortunate (and incorrect IMO) decision in the recent case
Gonzales v. Raich.
Probably the most appropriate part of the Constitution in this case would be the Tenth Amendment:
While this is used as the basis for many states rights arguments, it's actually their greatest detriment. In the case of the current health care reform bills, Congress is looking to individual choice as the measure - choice of a local or nationwide insurance company, or choice of joining Medicare, or choice of joining a local co-op plan not in their own state. That's considered interstate commerce, which is covered under Article I, Section 8. And because it's an individual choice, states rights doesn't even factor into the equation.