This is more serious with America taking such steps to ensure compliance , more countries will follow this direction and gradually it will get to smaller businesses, SMEs and then to restrictions on entering banks, malls, fuels stations and etc which will replace face mask.
I don't think it's going to go that far in the US, though I wouldn't rule anything out with Biden as president. But yeah, government employees and a lot of other people are going to either have to get vaccinated
or submit to weekly testing. Don't forget about that latter part, because at present it's an option for those who don't want the vaccine.
The good thing is that this is being challenged in the media and (hopefully) in the courts. The bad thing is that there is a legal precedent for the government mandating vaccination, dating back to 1905 if I've got my date correct. That was to prevent the spread of smallpox, and if I were living back then I'd get the vaccination with no hesitation. Smallpox is no joke--but COVID? The fact is that most people who get it have mild symptoms and recover just fine. The severity of COVID infection is nowhere near that of smallpox.
The world may be divided with vaccinated and non-vaccinated while only those who have done their vaccination will only be able to get inside the mall, banks or any establishment.
Where is that currently happening? It sure isn't in the US. Hell, most people don't even visit malls anymore, so I wouldn't worry about that. And banking can easily be done online. It's the requirement for employment that's a bitch, IMO.