Maybe you should learn more about how the system functions before demanding changes?
Vaccines are largely done in schools with parents having to opt out.
All you've prosed is to add a weird layer of bureaucracy with no discernible benefit.
Edit: And yes, refusals to vaccinate are already part of someone's record. (This system is already used to contact people who have refused and to offer another round of immunizations etc.)
https://lemmy.ca/post/31782306
Yarrrrrrrrrrrrrrr