Coronavirus vaccines

Peace and blessings,
The state and government are trying to encourage people to get vaccinated.
For this purpose, it uses various incentives.
Opponents of vaccinations cry out about the coercion of the matter. Is there any justice in their words? Isn't it the state's place to coerce?
Opponents of vaccines claim that they should not be forced to undergo medical procedures that they fear.
In addition, there is a wave of people on social media who are trying to convince their friends to get vaccinated, and opponents of vaccination are crying out against the misinformation and incitement against those who are not vaccinated. Is there any truth in what they say about this?