Earlier quoted context omitted.
The area in question (Northeast) is about the only place in the US that matches the population density of the parts of Europe served by high-speed rail. It's not a question of wealth but of efficiency. Even if you took every single meter of high speed rail that France has built in the last 50 years, you would barely cover 2/3 of the distance of a single line between New York and LA.
New York to LA would be a terrible high-speed rail route. Just way too far. But the US has many city pairs - SF and LA, LA and Vegas, Denver and Salt Lake, Chicago and Detroit, Pittsburgh and Philly, and so on - where high-speed rail could easily replace most flights if it were built.
Some of those routes sound nice, but they don't usually have enough daily traffic between them to warrant the massive infrastructure costs. LA to Vegas would rival the distance of the longest European high speed lines, but with many fewer stops between and a fraction of the passengers between. Outside of connector flights, I don't even know how many people even regularly travel between Chicago and Detroit.
Part of the advantage places like Japan and Europe have over the US is not just that they are dense, but that their population skews to one massive metropolitan center. So it's easy to design a hub model where traffic patterns are easy - in and out of one area. You see this in the success of regional commuter rail networks in the US.
(SF and LA is a great candidate though, and it's failure a highlight of how hard it is to build in the US)