'I really believe we are in a great position right now," says Michael Needham, the 31-year-old president of Heritage Action, the lobbying arm of the nation's largest conservative think tank. By "we" he means the Republican Party and the conservative movement; their "great position" refers to the potential to win the political battle over the government shutdown.

Though Texas Sen. Ted Cruz is the public face of the high-risk strategy to "defund" ObamaCare, the masterminds behind it are a new...