If the Republicans want to win back the majority, what they have to do is become electable.
Otherwise the Democrats, for all their fractiousness, will remain in the majority.
Inspirational leaders, as individuals, come from more walks of life than politics. In fact, politicians by their very nature are reactive and responsive to the demands of the electorate. Those politicians who prove to be memorable leaders have the ability to inspire, but they also have an important advantage: they usually succeed someone next to whom, in the public imagination, they look like George Washington by comparison.
It was true in Roosevelt's case, in Reagan's, and now.