Check out this list
http://en.wikipedia.org/wiki/List_of_United_States_Presidents_by_college_education
It’s pretty much failsafe that Ivy League=bad president. Even in the very early years, the worst presidents were ivy leaguers (Adams, Madison).
But your theory sure holds once college-educated presidents became the norm.
I get a particular chuckle over Columbia-- BO was the only one to finish; even the two Roosevelts had the sense to withdraw from that den of pinheads!
Go figure!