I agree that Ivies brand and alumni networks, historically, have opened doors in PoliSci, or any social science or humanities track. This is especially true in government and legal fields where so many people in senior positions have a history or political science degree, and then a law degree, also from an Ivy. With the recent scandals, however, I think the luster is off the rose with federal judges and white shoe law firms publicly stating they will no longer recruit from specific Ivy league law schools, and corporate recruiters anonymously stating that they avoid the Ivies.
If the OP is interested in CompSci, there are other schools that are far more prestigious than the Ivies, including Stanford, MIT and CMU.