I like reading through the negative, "woke", reviews that seem to be encountering Carlin for the first time. They always take one routine as an affront to their own ideologies and count the rest as left/right propaganda.
Two things should be observed, though: Carlin made jokes that were offensive to every demographic--you are not special--and late career he turned to dark humor that highlighted how messed up the world really is. That said, Carlin was NOT anti-vax; he was very much pro-science, pro-choice, logic-driven, and anti-ESTABLISHMENT. You can gather throughout his routines and interviews that he was very much about "you doing you" but not expecting "others to do you, too".