The "low density" of the US is deceptive. It's true that there are vast expanses of desert, and even that New York has a forest in it the size of the Netherlands, but when you compare the density of individual US states to European countries, you see it is no excuse for us not building broadband infrastructure and otherwise being sensible about things.
California, in particular, has a population density of about 100 people per square kilometer which is about the same as France. Most of California is either uninhabitable, factory farms, or military reservations. The population is highly concentrated near the coast.
People who haven't been there imagine that Los Angeles is "sprawl" but the truth it is very high density that is "sprawling" over a large plain that is boxed in by mountains. Millions of people have a line of sight to the Hollywood sign.
(I grew up in Southern New Hampshire which is based on Buckminister Fuller's diabolical geometry of airports and subdvisions -- where getting from one subdivision to the next is like going from the right side of your left lung to the right side of your left lung all the way up to the fork in your trachea. That is a self-inflicted wound that has nothing to do with how dense the population is.)