Before you make statements like "there aren't many cars clogging the roads" you should lean some facts. There are more cars in New York City now than there were in the 1980s, and if anything, the traffic is worse today than it was in the 1980s.
In mid 1980s when I drove to college for an 8 a.m. class I could set my cruise control as soon as I passed the Kew Gardens Interchange on the Grand Central Parkway and not touch a brake or gas pedal until I had to get off at exit 29 on the Northern State Parkway. When I graduated in 1988 I could no longer do that because there was too much traffic.
Today, the city administration seems intent on making the city un-drivable. It had taken away parking spaces, converted traffic lanes into bike lanes (against community boards' opposition, I might add,) designated bus only lanes, reduced the green light intervals, built sped bumps. The green light at some cross streets in Manhattan is now only 20 seconds.
Drivers, by law, must have a valid drivers' licence, registration and insurance. If they run a red light or use their phone they risk getting into an accident or getting a ticket, which leads to fines and higher insurance rates. Meanwhile, pedestrians can cross the street against the light, run into traffic from behind parked cars, walk down the middle of the street and they don't get tickets for jaywalking, even if they do it right in front of the police. Bicycle riders almost universally ignore the traffic lights and stop signs, ride against the flow of traffic or don't stay in the designated bike lanes and never get ticketed. But if a car, a bus, or a truck hits a bike rider or a pedestrian, the whole blame, up to and including criminal prosecution, is placed on the driver.