In case you're not aware of it, the biggest group in US who is "vaccine-hesitant" are higher-educated individuals with PhDs(and for reference the least hesitant one is individuals with masters).Though it shifts a bit over time, people with PhDs have never been exclusively right-wing, let alone trump loyalists.Usually the opposite actually.
[0] - https://www.msn.com/en-us/news/us/americans-with-phds-are-mo... [1] - https://www.medrxiv.org/content/10.1101/2021.07.20.21260795v...
2. While PHDs are now the most hesitant education level, the source you linked shows a stronger correlation with the political affiliation of the county/state of the individual instead of education levels, where trump=hesitant.