While we tend to talk in general terms about a conservative president and a conservative Congress, the reality is we have neither. Genuine conservatism opposes rampant deficit spending, expansion of government and aggressive internationalism, all hallmarks of this administration.
But now, the theo-con president and theo-con Congress have been sufficiently weakened by the consequences of their devastating actions that, much like disenfranchised liberals, disenfranchised conservatives are daring to assert themselves. The Washington Times reports that conservatives want the House leadership battle to address not just the theo-con's unending power-hunger, but also fundamental principles about the party and its philosophical approach to the nature of governance.
Whichever side you're on politically, it seems to make sense to with them luck.