Earlier quoted context omitted.
I'm also okay banning anti-vax ideas, in defense of the community in general, and in defense in specific of those vulnerable few who can't be immunized and rely on herd immunity. Foregoing vaccination imposes an as-yet-unaccounted externality on the community; you put everyone at risk by not vaccinating yourself or your kids, and there's no way for the vulnerable (those relying on herd immunity) to know who around th…
Obligatory vaccination is oppression, however you twist it. How far are you willing to go when it comes to oppressing individuals in the name of the common good? Force women to have children to repopulate aging countries (or, alternatively, force sterilize them in overpopulated countries)?
Vaccination, for those who can be vaccinated (not everyone can), is a trade-off for participating in a society free from disease. Taxation is the price you pay for buying a society and traffic controls are a price you pay for access to a ubiquitous and generally safe road network.
All of coexisting with others is a balance of trade-offs; labeling all of those trade-offs as oppression renders the word meaningless, as much as referring to any kind of coercion as violence.
As for how far am I willing to go? Mandatory vaccines are a good trade-off, and I am willing to stand by the position (one which is growing increasingly popular, as preventable diseases are returning in force).
Forcing women to have children? I have never heard, outside fiction, of a society that forces women to give birth; certainly it's been encouraged, lionized even, but you're proposing something from the realm of fiction as a what-if. Not helpful.