The amount of times I've argued with people who are decidedly left, providing them with ample facts, figures and data only to have them present me with an argument which amounted to "Nuh-uh!"... I find your meme to be quite silly.
There are those on the right that react emotionally and impulsively, there's no denying that,. However, the vast majority of asinine, window-licking argumentation comes from those on the left who are so smugly convinced about their own intellectual superiority they can't even admit that America is a Constitutional Republic.
Based on my personal observation of comment threads, I believe your meme's premise to be generally, though not entirely, false.