The clinical trials were all done well before the election, and the FDA could have issued the emergency use authorizations in October, but they held off for a few weeks under the explicit political pressure discussed in the story I mentioned.

When it comes to “anti-vaxxers”, a lot of people, including both Biden and Harris, were outspokenly skeptical of any vaccine that would have been approved under a Trump administration (https://www.politico.com/news/2020/09/05/kamala-harris-trump...), so frankly this is largely an artifact of political polarization.