And there's a big difference between a scientist saying "people with previous COVID infections have more anti-bodies than those with vaccinations" and Joe Rogan saying "COVID is fake/just the flu".
The first is potentially true and most of us aren't qualified to either verify it or derive any course of action from it - regardless of it's truth, vaccination is probably the appropriate action for any individual (better safe than sorry). Using the statement as a argument to avoid vaccination is bad policy.
The second is on outright fabrication, yet we still have a significant portion of the population believing that crap.
Secondly, Rogan has never said COVID was fake or just the flu, and the reason people assert that COVID is fake is down to motivated reasoning, which is the same reason Fauci thinks he was justified in lying to the public.
Getting people to change their behaviour starts by not dismissing them or dehumanizing them, and trying to steelman their position so they and you fully understand why they want to dismiss COVID. When that's done, it's often clear where you can compromise. Sadly, that's not what we see going on.
Including wanting to implement many of the same draconian policies we see today for communities where AIDS was discovered.
Then why do we see articles saying that Youtube etc bans people with great credentials who are anti vax? There are people with great credentials on every side of every argument. Great credentials doesn't stop you from being an idiot or being wrong. If you believe the first person with great credentials you see, and that person happened to be anti vacc, would you be anti vax? Sounds like it to me. I'm pro vaccine, but I am strongly anti blindly listening to people with credentials.