Most business people I know, look to hire REAL kids from the state schools, even....gasp....community colleges. These kids usually work a real job while in school and don’t graduate with the snobby sense of entitlement and utter cluelessness about the real world, inherent in those that attend our local “prestigious” Ivy League school, Washington University.
The two Ivy League grads before 1830 (John Adams and James Madison), were decent enough presidents, but they came from an era of great presidents, including the three who are on everybody's list of the greatest-- Washington, Jefferson and Monroe. So "pretty good" really doesn't cut it in an era of greatness.
On the other hand, some of our greatest presidents (Ronald Reagan) come from no-name colleges (Eureka) or even no college at all, as in the case of Grover Cleveland, the last Democrat which I would easily put in the list of the 10 greatest.