What I think a lot of people who are anti-vax miss is the risk of the vaccine compared to the risk of COVID. They feel like they're being asked something risky in a vacuum, when in fact, they're being asked for something with (as best as we can tell) limited risk against a backdrop of a dangerous virus that killed millions and caused a global pandemic.
Even if they could demonstrably prove the vaccine created a higher risk of outcomes for people who took it, the risk compared to getting COVID is de minimus, and the likelihood of getting COVID is high. I would be surprised if there was a significant population of people who had avoided it at this point.