Within Harvard he managed to upset the faculty in other ways and the faculty's lack of confidence in Summers was a factor in his resignation. Many of the opinions I see point to the faculty as unfirable zealots unwilling to allow a reformer like Summers do his job. For example consider the excerpt from an Op-Ed piece in the New York Times.
It now remains to be seen whether Harvard's Faculty of Arts and Sciences is capable of self-critique. Will its members acknowledge their own insularity and excesses, or will they continue down the path of smug self-congratulation and vanity? Harvard's reputation for disinterested scholarship has been severely gored by the shadowy manipulations of the self-serving cabal who forced Mr. Summers's premature resignation. That so few of the ostensibly aggrieved faculty members deigned to speak on the record to The Crimson, the student newspaper, illustrates the cagey hypocrisy that permeates fashionable campus leftism, which worships diversity in all things except diversity of thought.and this from a professor, Camille Paglia of the University of the Arts in Philadelphia.
The University of Chicago is getting near the end of its own presidential search as our current president Don Randel is moving on to head the Mellon Foundation. The Search Committee is a combination of trustee members and faculty, where the faculty members of the committee were chosen by election from the faculty at large. If the faculty doesn't like the new president then we will have no one to blame but ourselves.
Update 3/9: That was quick. Bob Zimmer, a mathematician, was just nominated for the University of Chicago presidency.