Yes indeed. I am strongly in favor of that. If vaccination is not mandatory, we will not achieve rapidly enough the high percent of population fully vaccinated we must have to have a chance of wiping out the Covid virus. We will be doomed to annual vaccination for Covid as it continues to find hosts and evolve. By the time you and your family get their vaccinations it is very likely the vaccine will no longer be considered experimental, so I wouldn't worry about that! Probably it is going to receive full approval any day now. Will probably be approved for toddler age quite soon.
They need to approve it. Will open them up to litigation and that will have quite an effect.
But you're as much a libertarian as I am a golden retriever.