Medical people refusing vaccine

[cyclonefence]

5. Maybe I am completely misunderstanding the way vaccines work

but even if they are vaccinated, they still pose a danger as carriers, don't they? Vaccines protect the person who is vaccinated, but don't do anything to protect those around them who are not vaccinated, right?

As I understand it, when you're vaccinated, you receive antibodies that will prevent your body from developing the disease involved, but not against picking up the germs---you can have the germs in your body, but you won't get sick from them. Like Typhoid Mary?

The big picture would be, as I see it, if enough of us developed antibodies to covid, it could still be around, but with no hosts (i.e. no potential victims to grow in), it would eventually die out.

Please correct me if I'm wrong.