I have always engaged the "elite" And if they get too high up on their high horse, I bring them down a few pegs.
For in fact, a very intelligent person who knows how to get their hands dirty is vastly superior to a person who merely thinks. A person can be a Nobel Laureate, yet if his car blows a fuse in the desert, he'll die just like anyone else who doesn't know how to fix it.
You seem to have quite an ego issue. Do you know how to grow all of the food in your diet? Do you know how to make your own penicillin? Could you perform a root canal on yourself or even a loved one? Even if you can do all of those things, I'm sure there are plenty of other skills you lack. Criticizing a Nobel Laureate, who have all probably done more in their lives than you ever will, just because s/he cannot fix their own car is asinine.
I am a software engineer, and have no delusions that my skills are somehow "better" than that of a car mechanic. But learning how to service my own car (other than the basics like changing my own oil) is a waste of my time. I can either be doing work or learning new skills in my area of expertise, which provides far more benefit to both myself and society as a whole. I also pay maids to clean my home each week and a service to do my yard work each week during the warm months. I do not believe myself to be a more superior human being than my maids, but my time is certainly more valuable from an economic standpoint.
I also share your disdain for intellectuals that think they are superior to others, but I hold the same contempt for blue collar guys who think their handyman skills somehow make themselves superior to those who do not share them. Separation of labor is an important thing, and for most people who earn enough to easily pay a mechanic, learning how to repair the windows of their own car is as valuable as knowing how to churn their own butter.