Obamacare is law. Refusing to recognize federal law is called nullification. Neither a state nor a political party can invalidate any federal law.
For example, if Republicans do not like the byzantine and unfair income tax code, they can create legislation to change it. But refusing to fund the government because they don’t like a particular law, even one ruled constitutional by the U.S. Supreme Court, is an attempt to nullify the authority of the central government.
House Speaker John A. Boehner is the new John C. Calhoun. What we need is a John Quincy Adams, or at least a Henry Clay. If Boehner truly believed in democracy, he would bring the Senate’s clean continuing resolution to the House floor for a vote.