I know an MIT PhD (natural sciences) who thinks too highly of herself--when I beat her in the Chinese game of Wuziqi (She's Chinese and has beaten the computer and played nearly all her 20+ years), she was so pissed off....She still had that hubris and self-aggrandizement though, until she discovered by chance, that I used to teach mathematics at one of her Alma maters. After that she became sort of an enemy. This is the problem with self-aggrandizing people.
This is true about any successful institution in general. I noticed it first with Universities but it applies to jobs as well.