Earlier quoted context omitted.
Some jobs actually do require a car, either explicitly or because no other form of transportation would be practical for an area. Since higher vaccination rates protect other people, I'm hopeful that vaccines become as mandatory as possible. That this bothers anti-vaxxers doesn't bother me, because why should it? I'm not more bothered by this than the vaccine requirement to enter public schools for kids.
I did not say any job, I said "a" job. Yes vaccinations will protect other people. Banning alcohol would protect many people, but its a violation of a person's rights to ban it.
Your line of reasoning could also be used against seat belt laws or building codes: why have those for public safety if we don't ban alcohol?
edit: also, while I don't support banning alcohol, it wouldn't be a violation of a person's basic rights to ban it. That used to be the law of the land in the US, and even today there are still some dry counties (alcohol cannot be sold).