You could say that both the state government and the family groups that oppose the vaccine are omnipotent busybodies and that they are doing so for their own conscience.
No, you couldn't, because the family groups that oppose the vaccine are not trying to force everyone to follow their directives or conscience. They are not trying to prohibit everyone from taking it and force their conscience on others. They just want the freedom to make the decision for themselves and allow others to make the decision for themselves, also.