There may be more rugged individualism in the USA and more liberty stored in the hearts of Americans. Maybe, anyway. But all American values were once European ones for that's where Americans came from.* I would only disagree that help is any farther away in the US than in Europe for the individual. Mainland USA and Europe are comparably sized, aren't they?
Also, wouldn't European culture have been different in the past compared to today? Weren't people allowed to hunt with their own guns and bullets in previous times? A hundred years ago there wasn't a fast food chain on every corner. People would have necessarily been far more involved with coming up with their daily meals. I don't see how this aspect of living could have been much different for Europe versus here in the states.
No , America was very different from the places the colonists came from because of the frontier , which didn't exist in England ,Germany etc where there were more or less stable borders and what was beyond those borders was known .
When the colonists went west beyond the frontier between (roughly) 1607-1880 they were stepping into lands which had no government or laws at all ,and so they had to be totally self reliant .
The United States was essentially created by its own people with minimal involvement of federal government. That individuals and small groups made such a success of it without government assistance leads the majority to be dubious about ceding any rights at all to government.
Meanwhile in Europe , the state was powerful within it's borders and seen as oppressive , but in mid 20th century most Euro nations were at some point taken over by socialist parties who introduced the idea of the benevolent state , that is both responsible for , and the solution to , all problems . Even supposedly right wing parties in Europe largely accept this . So the state is only ever criticized for not doing enough . Socilaism was never possible in America due to the culture of individualism.
It's a completely different culture.