It's not exactly the same, since the only mandatory vaccine I'm aware of is the one against measles, a very infectious disease which can kill kids and batter adults. It has sequelae which can appear years later. The vaccine has been in use for a long time and is well understood.

So as long as it can be ensured that the unvaccinated won't infect others (e.g. through testing), they should not be forbidden from participating in society. This is not justified by the current course of the pandemic. Maybe if we discover in a few months that the vaccines don't work any more because of the low vaccination rates this becomes more critical.