As has already been stated many times the vaccine doesn't as yet prevent you from catching or transmitting it, it just vastly reduces the chance of you becoming seriously ill if you do.
I personally cannot see the argument in restricting people from going into shops, cinemas, or even travel, etc, if they have not been vaccinated as it will not matter to others either way.
However, I can see insurance companies, employers, travel companies, refusing those that haven't been vaccinated as the risk factor of becoming ill will be greater. I presume there will be clauses with foreign travel - no vaccine = no medical insurance.
Same as employers might favour those who have had the vaccine over those that haven't for absence monitoring purposes.
Lots of ground to cover yet before anything is cast in stone.