Having been a juror on a civil trial against the MTA, I assure you that the New York public is perfectly willing to hold people accountable for injury.
Drunk driving was reduced over my lifetime [1] by calling attention to it (e.g. MADD), shaming the practice, lowering BAC thresholds, and increasing enforcement.
Similar approaches could be done for pedestrian injury by vehicles. Sure, it takes more time (and does not scam $9 from my pocket in the meantime) but public behavior can be changed.
[1] https://www.responsibility.org/alcohol-statistics/drunk-driv...
The punishment: His driving license was revoked: https://www.berlin.de/generalstaatsanwaltschaft/presse/press...
Germany has a reputation as strict and bureaucratic, and yet, it's apparently still legal to murder people with your car.