I think you'd have a better point if you blamed skepticism on something Fauci said (though I'd like to see context on that, too). I've not once relied on a politician of any kind for medical advice. If the only person telling me to get the vaccine was Joe Biden, I'd be very skeptical indeed.

But again, this is cherry picking. The consensus opinion amongst medical experts is heavily in favor of the vaccine, and they have data to back up their judgement. The contrarian advice from skeptics is decidedly lacking in evidence and relies almost entirely on hearsay and non-scientific anecdotes.