No, it’s not both sides. A decade ago on the left anti-vaxxers were a small fringe group that was concerning, but was small enough to be ignored as long as it didn’t grow.
Guess what? It grew.
The left didn’t put RFK in a cabinet post.
RFK was allegedly chosen BECAUSE he is such an evil right wing bastard who also at least used to have a lot of support on the left. He was a celebrity appointee and much of his appeal in that regard used to very much be "both sides".
This new anti-vax is overwhelmingly on the right and a much bigger issue.
Yes and no.
Yes in the sense that it is mostly right wingers who are insisting that the measles vaccine will give you super autism and blah blah blah.
No in the sense that lefties have decades of "alternative medicine" and parenting guides (see: A lot of the plague parties over the years). And no in the sense that we very much feel the need to say things like "Okay. Everyone needs to get fucking vaccinated so we can have herd immunity. Err, I am sorry for what was done to you. Everyone needs to but if you have a good reason to not trust the government then you should be free not to."
And, don't get me wrong: What the US government did to Black people was pure evil. It is also just one example amongst those spanning all of human history where actions ranging from unethical to downright monstrous were used for medical experimentation and... there are no signs that is ongoing (yet. RFK is cooking...) so...
I'll say the same thing I said back in 2020 (?): If you are that concerned, drive an extra hour and go to the white people CVS. Just get fucking vaccinated.