Realistically, we share enough of an origin, destination, and schedule for the differences to be irrelevant. Most of us go to work at the same time, to the same areas, then go back to the same residential areas. That's exactly why rush-hour congestion happens. If it wasn't like this, cars would indeed be a good solution.
I live in a city with very good public transport. My average tram trip is about 20 minutes, and there is usually one that goes directly to where I want to go. I live within a hundred meters of a tram stop - and this is far from unusual. I also live within a mile of a rail station, and there is a bus stop within a hundred meters.
As I see it, there are two intertwined problems:
1. American cities are built around the car. Homes are distributed across vast areas, in the form of suburbs.
2. Many cities have very bad public transport options. This makes cars more viable, despite the inherent inefficiency of what is essentially a road-train with a hundred drivers.
If you experience transport in the context of a society built around the car, then sure, a car is going to seem viable. Vast amounts of capital has gone into the system that makes it viable. Living and working patterns are all built around it. It doesn't change the fact that fundamentally, physically, a car takes more money to build, run, takes up more space to carry fewer people, requires more infrastructure - and, even given a network of roads vastly more comprehensive than any train or tram system ever designed, works very badly.
Suburbs are also horrible from an efficiency perspective.