COVID vaccines don't stop transmission, so this is not about protecting other people.
Legally speaking, mandating the vaccine is forcing a person to act (get jabbed) through no act of their own. Mandating abortion bans is prohibiting an act (getting an abortion). So the two scenarios aren't comparable.
Banning abortion means de facto forcing someone to carry an unwanted pregnancy to term.
you probably have a different threshold, which is okay, but it is likely one you will have to persuade the majority to adopt, if you want to get your way
https://twitter.com/eliaseythorsson/status/14240115421950238...
The Oxford Vaccine Group says herd immunity through vaccination is infeasible now:
https://www.theguardian.com/world/2021/aug/10/delta-variant-...