The Manhattan CBD, which has a much higher density of roads than any other place in America and in which millions work every day, has a carrying capacity of about 6,000 moving cars at any one time. If you lower the cost of keeping a car moving on the road even more then there will be more cars occupying that space.
There is a solution, we can charge a per minute fee for using the public road space. In the most dense areas $0.10/min on 10-25 mph streets, $0.15/min on 30-45mph roads, $0.20/min on 45-60mph roads, etc.
But we are all so used to being freeloaders that it is politically difficult to implement any kind of user fee for existing asphalt. Things will get much much worse before we put in place any sensible solution.