Yale has unique historic and ongoing ties to the bureaucratic apparatus of the country. These have been/are exploited for the unique benefit of the institution and its associates. Harvard, (in particular some elements of the law school), are getting in on this game more on the direct "policy" level than ever historically. Take, for example, Harvard's new institutional bias toward "Lawfare."
The CIA is basically an offshoot of Yale, more specifically of the Skull and Bones Society.