Successful movements require elements of both.
Of course the GOP is in sympathy with many of these right-wingers' goals, but politics is the art of the possible. These righties, so the argument goes, fail to appreciate the value of incrementalism. I'm not opposed to incrementalism - really. I consider myself to be more of an incrementalist myself. I fully understand that it took decades to grow government to its present size, to subvert traditional cultural norms and social institutions and to reap the attendant consequences of these actions.