It is a very dense urban city with a robust transit system where drivers are almost always wealthier. There are also a lot of drivers coming from New Jersey who are using but not paying for the roads. In addition to reducing car traffic, the congestion pricing is also funding transit improvements/expansions and has significantly reduced the number of car crashes already.

Your point may hold for a sprawling suburb where everybody is forced to own a car. However, in New York a car is a luxury that the majority of people do not own.

Blaming road violence on behaviour and asking all road users to be perfect has been tried for over a century at this point.

Humans make mistakes and have behavioural problems. The proven solution is to build safer infrastructure to prevent road deaths and injuries by design.