The appeal to education is pretty lazy and incorrect given people with PhD educations are the most likely group to be hesitant of the vaccine. [1] A huge majority of them are Democrats. [2]
I wouldn't associate PhDs with intelligence given this information.
[1] https://www.webmd.com/vaccines/covid-19-vaccine/news/2021081...
[2] https://www.pewresearch.org/politics/2016/04/26/a-wider-ideo...