I have to say that's simply not true.
America is car centric not because it has to be, but because it was lobbied for.
Back in the 1920s we actually had a more robust transit system. Until Ford and the other auto manufacturers pushed for more roads. I know of places growing up that are now 1.5hrs away by car, but they used to have an affordable train that took 1 hour. I don't remember those trains, but my grandparents did.
And you are right about some points. The density and distance in the US is a challenge. There will never be a bus route near my childhood home. The nearest gas station was 3 miles away and there were not enough people to justify it. But there is no reason why there couldn't have been a bus near that gas station to take people into town.
Also you are 100% wrong about trains. City to city travel is where they would be the most useful in the US. Trains can travel large distances very effectively if given the proper infrastructure. Amtrak is a joke, but it is not even close to good rail infrastructure. Rail can be so much better and is so much better in many countries. And you may say these countries are smaller than the US, and you'd be right, but they are similar in size to many states. If we had travel that efficient within state it would be a major improvement.
A system of hubs designed to take people into cities and between them would be the ideal solution with the current density.
I want American car culture to die. I hope it does, but I won't hate people for needing a car because it is necessary in America.