Nice little narrative there, but...is your implication that Righties have better respect for Reason? Certainly, many libertarians tend to fetishize Reason, but most on the Right aren't really libertarian, at least ideologically.
You must have missed the closer of my follow up post responding to the last question I received about the post you quoted.
The quoted post is the philosophical underpinnings of broad movements. Specific attitudes of right vs left are discussed about two posts above yours. From a purely analytical position, I make no moral judgement about the correctness of the Counter Enlightenment movement, all the way up to Postmodernism. I disagree with them, fundamentally, and see myself as more in the Enlightenment 'branch' of modern philosophy, if you will, but I accept, among other things, that Kant's Critique of Pure Reason makes a valid argument, though I would suggest that Descartes's Demon makes an interesting counter-argument, though I don't believe it was intended as such.
So when you ask if "The Right" has a better respect for Reason, not only are you asking about the wrong side of the political divide (you should be asking the obverse question: Do I believe the Left doesn't respect Reason?), to answer it I have to ask: Do You mean the European Traditionalist Right, the American Individualist Right, or the Counter-Enlightenment Nationalist Socialist Right?
In general I believe most people don't actually concern themselves with the foundations and intellectual underpinnings of their political beliefs, and left to their own devices most people default to 'magical thinking' over rational or, alternatively, counter-Enlightenment Irrationalist Thinking, so asking about 'most people' is a fools errand' by any metric.
Of course, we can also make the argument that none of this is particularly new. Nietzche is rehashing the tired old arguments of Heracletius (I think... this was someone elses thesis, and I might have forgotten which discredited ancient greek philosopher they tied him too...), the Post-moderists are largely relying on argument techniques demonstrated by teh Sophists back in the day. Revolutionary movements (such as Socialism) have always bowlderized language until they are in power, or alternatively destroyed by those in power, at which point the near first order of business is always to re-assert the propriety of language, as documented by Thucydides.
We've been here before, and no matter what happens between now and January 20, and beyond, we will be here again. The big question is just how bloody it will get in the meantime. I, for one, hope that our inevitable dark age... call it the Atomic Age Collapse... doesn't happen during my lifetime. I'd like to think we have a few more centuries, but if I could tell the future I wouldn't be posting here, I'd be playing the lotto and living it up on some tropical beach with dancing girls.