This holds true even for low income jobs, McDonalds pays nearly 10$ an hour in the US vs 4.35 GBP in the UK, or 6.50 EUR in Germany (there are comming minimum wage changes in Germany so it will increase to about 8 EUR in 2017) and US those workers are taxed at considerably lower rates.
There is a better 'safety net' in most European countries, but there is a lot more opportunity in America. It's 100% true that 'anyone can make it' - as long as 'making it' means having a job, owning a home, in a regular place like Cleveland or Pittsburg or whatever.
Europe has a much, much stronger class system than the US.
American companies have tons of workers and professionals who came from poor situations. Europe is not like that at all.
A lot of what would be a college degree in the US is done though trade schools in Europe. I also think there are much stricter requirements on what the degree is in most countries, as in the won't fund a lot of arts degrees.