The United States is starting to look more like Europe. Therefore, the GOP of the future will highly resemble the centre-right parties of Western Europe. That doesn't mean becoming more libertarian - in no Western country today can the main centre-right party be described as primarily "libertarian". Trust me, there's no future for a party that rejects things like corporate welfare, bailouts and government largess. In the 21st Century, big government is good for big business. The GOP's relevancy in the future depends on it being able to make the case that it can use big government as a way to create a more efficient, better society rather than only using it as a means to achieve a welfare-based culture as the Democrats seem to be doing.
Alternatively, a just-as-feasible electoral paradigm for the future GOP would be to resort to overtly racial rhetoric in an increasingly multicultural United States as a way to shore-up support among Whites. Honestly, it doesn't matter if Democrats win >90% of the minority votes if the GOP can start consistently start winning more than 72%-ish of Whites. That could probably be accomplished by a large, very direct "law and order" style campaign that plays very well in lily-White suburbs that may even tilt D right now.
So, the future of the GOP either looks like neo-Nazism or...neo-Nazisim?
R.I.P Sir Spany Rodriguez (2006-2013)
Basically Fergusson or Alabama is the whole of America, if not Western Civilization, in the 2030s?
I mean, make the Hipsters and Yuppies afraid of the brown man and you'll have them voting GOP no matter how "urban" or "educated" they may be.
