This is a myth. People struggle on state pensions throughout Europe, but for some reason young Americans idealize everything that comes out of Europe.
In Germany(a country of 80 mil), the average pension is $1000 once you get to 65. In France it's not much more. The social security in the US beats that, plus you can usually afford a private pension, because the government doesn't take 50% of your paychecks.
I personally know someone in Austria that worked all his life for the railroad, then he got sicker and sicker, but the state wouldn't give him a disability pension. He could barely work sitting all day. Then he got disability at around age 60, but he needed money so much that he had to collect scrap metal to make ends meet. Very sick, after 60 years old, collecting metal. This is just an anecdote...I know, but still.