Here's an article on a recent Pew survey:
The results also suggest that the public recently has rejected the GOP for poor performance, not because it disagrees with the party's positions on key issues. That means beleaguered Republicans looking to rebound must convince voters they are still good stewards of those values while improving the GOP's image and morale.
To which I respond "DUH!". Again, America is a right-leaning country. Voters didn't reject conservatism, they rejected the GOPs failure to follow it.