People manage to get to work, schools, shops etc without a car though
Of course they do. If you live, work and go to schools and shops with affordable, accessible transport that links one to another and you don't have disabilities that prevent you.
On the other hand if you work in one direction, school is in another and the number of buses and changes turns an hour car journey with multiple drop offs a 2 hour bus journey costing £20 a day and means either the kids get dropped off at school before it opens or you get to work an hour late then it doesn't work does it?
My son is a teacher in Kent. When he did his PGCE he had to travel from his uni well over an hour and a half by car to his placement school. No idea how he could have done it by public transport. But a train ticket about the same distance costs £60/day. He was living on a student loan. How was he going to afford £240/week rail fare?
You need to think about it. People working in shops and restaurants are on nmw. If they can run a car at a fraction of the cost of public transport and be able to use it when they need it rather than at the times the buses choose to run then what choice do they have?
If as a society we decide to increase nmw and subsidise public transport to make it cheap, frequent and reliable and then force banks, post offices, shops and drs to open where people need them well then we can consider forcing people out of cars.