Indeed, the only thing is that the gov't should GIVE the right informations about being vaccinated and how the vaccine works in the pandemic, then let the audience decide if they're ready to take or not. Cause you already give the things, and should not be forced. (Note: the talk should be 2 way so the audience can question the speaker regarding some confusing manners)
I am not yet vaccinated, but waiting to be vaccinated as I already registered for one, but don't have any schedule yet. Plus I am currently in my internship so taking a leave for a walk in vaccination is a no-no.
I think you're right : we should be able to trust our governments to provide truthful information for its people to make choices.
Many of us have accepted that we can't and instead of challenging our government to live up to a better standard---just resist everything (and call that "thinking for themselves").
Also we have the issue of "fast news"---a constantly "breaking news" cycle which often presents things as "facts" before they actually are and that contributes to misinformation.