There is a battle festering within the Republican Party which Cheney's remark alludes to between the Country Club Republicans and the Country Republicans of which Tea Party Repubs are a part.
The Country Clubbers the likes of Cheney, McCain, Boehner and many others feel threatened by the Country Republicans, in particulat the Tea Party Republicans who threaten to upset their apple cart.
Remember, Democrats alone did not guide the nation in the predicament we not find ourselves. They had help and plenty of it from Republicans who view themselves no different than the Dems; a ruling elite for who the rules of life do not apply.
The perks and privileges of office soon becomes their entitlement which they will never surrender.