Both are upstanding jobs, and neither are skimpy on the pay so it really comes down to what you envision yourself doing. Although it might depend on your opinions about the current president when asked this question, so I can see why a chunk of people would jump at the Harvard choice.
So, are you more like Asher Fleming from Gilmore girls, do you want to teach classes and have a love affair with a student? Or are you more like C.J. Cregg from The West Wing, willing to stand by the President of the United States being the first to hear about some of the top news stories?