There's a real tension in the American political system that's due to the way it's set up. Unlike the parliamentary system of many nations, the head of state (The President) is also the Executive and is elected independently of the Legislature. In a Parliamentary system, the Executive comes from the legislature while the head of state is usually a ceremonial or administrative role. In a Presidential System, The Executive and the Legislature have competing claims to democratic legitimacy. Both have an electoral mandate and are held accountable but can't govern on their own.
US Conservatives control the legislature but since the President is elected independently and is currently of the other party, they're unable to govern without his consent. He's able to veto any law they pass and thus has the final say. Establishment Republicans (Boehner) recognize this and know that in order for the GOP to have full control of the government, they must win the 2016 presidential election but until then they must compromise with Obama. Far-right Republicans however, think that control of the legislature should be enough and that they should never compromise with Obama. They'd prefer a more parliamentary system where control of the legislature = control of the whole government.
They want leadership willing to push the nation to the brink of (financial) ruin in order to win this control over Obama. They were furious with Boehner because he wasn't really willing to do so. He'd do some theatrics but his real concern was the stability of the US federal government and economy. Many far right Republicans seriously dislike the federal government. They think that it's become a vehicle for liberals, minorities, and women to artificially usurp the natural order of a white, Christian, straight, male-dominated society. They'd be fine with trashing it and starting anew.