Can Republicans recover from the Tea Party?

For the entirety of my adult life, the GOP has been re-defined from the inside out. To outsiders like myself, the Republican party appears to be the party against science, education, women, immigrants, lgbts, anything not Christian, poor, and a myriad of other things, all the while preaching "smaller government" and "personal freedom." Granted, there are plenty of Republicans, both elected and registered, that don't support those things. They are Republicans who support fiscal responsibility, [i]actual [/i]smaller government, and [i]real [/i]personal freedom. The problem with being associated with the fundamental religious right that also fall under the same umbrella is they are tacitly approving of the positions held by those they share the name with. [b]What can the traditional Republicans do to take back their name?[/b] Do the Tea Party need to form their own third party and separate from the GOP? I know they wont do that because that means they'll never get elected again. Third parties [almost] never get elected; I can count the number of non-democrats or non-republicans in Congress on one hand.