I suspect it's not as bad as that as it's not like people are spread evenly across the USA, they're concentrated in the coastal States and then further concentrated in urban areas. I agree the USA's low housing density makes some infrastructure more expensive to maintain though.
One of the other differences is that in the UK taxation raised by central government pays for services that in the USA are paid for out of local taxation. Education is the most obvious one - schools are paid for largely out of the main pool in the UK rather than being paid for via council tax. There are also various redistribution mechanisms intended to move money from richer to poorer areas, urban to rural and England to the other nations to compensate for geographic inequalities.
