The biggest brains are arguably going to be a physics, chemistry, etc. major. I have tried reading Einstein's theory of relativity and gave up: anybody who understands that is overqualified for probably about anything. Of course, these people are going to end up being professors or doctors.
There is an intelligence/genius in understanding humanity, human nature, history, and the universe. Anybody that has read James Madison in the Federalist Papers has witnessed and gets this. I was pretty darn impressed with the vast majority of the people I went to law school with, and anybody who would not hire one of these people or a James Madison needs their head checked. Once again, most of these people are going to end up being attorneys and running society.
Somehow, I've been able to start my own law practice, do the marketing and bookkeeping, work the hours I want to work, and acquire as much work as I want without a Kelley degree. I don't need a gatekeeper who is dumber than me and could not accomplish what I've accomplished to let me in the door, and it's a shame some people don't get to walk through some business doors because they don't have an unnecessary business degree.