To be fair, we should distinguish between people who don't think they need (or should be compelled to receive) these particular COVID vaccines versus people who are anti-vaccination in general. For example, I think it is a reasonable choice for most Americans to remain unvaccinated against yellow fever, typhoid, rabies, anthrax or even ebola (when the vaccine is finally approved) because these diseases effectively don't exist in the US, are extremely rare, or only a risk to certain professions. Obviously, though, COVID-19 is none of those, and the benefit to widespread vaccination applies to everyone.
So, we need to go all-in to try to convince these people of both the safety and the huge benefit to both themselves and society in general to get vaccinated. Because I can guarantee that the anti-vaxxer movement is blitzing them with misinformation to win them over to their cause. We have powerful rationale and even more powerful data on our side, they have only lies and distortions.