American cities _did_ make large public transit networks in the past - L.A. once had the largest streetcar network in the world - the thing was that it subsidized cars and made preferential rules for cars to the point of bankrupting the alternatives and then ripped them up. Those streetcars also supported lower-density developments on the periphery - "streetcar suburbs" - which today are still valuable and prized places to live because they are far more walkable than your typical cookie cutter car dependent suburb sprouting up today.
In what years was that system operating? Los Angles wildly expanded in size from 1912 to 1915, and it looks like most of those systems struggled to be profitable before this point and were only further hampered by the expansion in size and the low ridership of rural lines. It seemed they were unable to accurately match rail with demand in most cases.. and most rural/suburban people were already beginning to prefer cars.
Isn't this self-evident for any town? If the local geography offers nothing in the way of convenient mobility, natural resources, easy access to trade routes, or anything else worth taking advantage of, there's no point founding a town there. Towns need to build wealth to survive and grow. One distinct drawback of ripping up streetcars and making everyone depend on the car is that you have to level massive portions of your downtown to create parking, and you have to take away tons of public space from people to make room for all the traffic. LA did both of those things and it's why it's unique among U.S. cities of its size for being horrifically sprawly and difficult to navigate.
You also need to bear in mind that car-centric development is incredibly, wildly unprofitable, and is subsidized by taxpayers. Modern low density suburban developments require absolutely enormous quantities of expensive infrastructure - pipes, asphalt, power lines, waste collection, wastewater treatment, fire, police - massive upfront capital expenditures with massive long-term liabilities. The U.S. has collectively spent many hundreds of billions of dollars building and supporting infrastructure for the exclusive use of cars. The local taxpayer base rarely if ever is actually able to offset that cost which is why A) much of the funding is from state/federal grants and B) public debt is increasing without end.
It has enough space to continually and affordably reduce population density. I'm sure other countries make greater public transit investments because they do not have this convenience at their disposal.