Yes, this is just misplaced paranoia. Vaccinations are legitimate public health information.
Just yes. That is to say, yes they are legitimate public health information. And yes, it is paranoia.
Paranoia says registrations of one kind or another are extremely prone to government abuse. And it isn't valid to say "I know my government representatives and they would never do such a thing." Because you do not know all future government administrations and whether they would do such a thing.
Further, thouse who's health cannot tolerate vaccanation are exempt from vaccinations for schooling and don't have any place in the milatry. It is unfortunate that madated vaccines are the only way to get us to the ciritical mass that can protect those who cannot be vaccinated, however it's fear mongers like you are what's keeping us below that critical point.
Moreover, intentional fallicies like this call into question your ablity to think critically and rationally:
And if you genuinely cannot imagine how government could conceivably abuse this information, then you shouldn't be speaking up at all. Should everybody be vaccinated?
If you cannot articulate your actual fears are so that they can be addressed, then you are just paronid. I personally can think of very few ways the list could be abused, and none of the abuses outweigh the risk of another Polio outbreak.