...a very difficult person his whole life, going back to his childhood, basically an asshole.
In any case, he died in 1989, improving, if not the gene pool, than the intellectual climate. I'm not sure he was even remotely aware of the Kochs.
The fact that he was successful as a scientist does not mean that he was a nice person or even a decent person. I've personally known many scientists - excellent scientists - whose personalities I can't or couldn't stand. (There are, I think, many people who can't stand me.)
Apparently his co-inventors, Walter Brattain, and John Bardeen found him to be extremely problematic and difficult. From what I can tell, they were decent human beings in contrast to their boss, Schockley.
Bardeen won a second Nobel Prize in Physics for his work on superconductivity.
Bardeen's son, James Bardeen, of Yale University, received his Ph.D. from Richard Feynman, another Nobel Laureate, and in his career discovered the exact solution of Einstein's Field equation.
Bardeen Sr. apparently wanted nothing to do with Shockley after they shared the Nobel Prize.