Well, Europe is much more enlightened in terms of labour protection or healthcare. I'm classical liberal sometimes nearing libertarian and I adore American freedom of speech and some parts of work culture. But I'll defend single-payer healthcare and sane labour protection to death.

But on immigration front.. Europe is built on nation states and that won't change for at least several generations, regardless of what media is saying. I think the main difference is US have problem with underclass of different ethnicity. Thus differences are very stark. Poverty amplifies differences and you get the endless loop. Being homogenous, Europe didn't have have such problem until now. There was no place for such issues to come up. Jews may have been somewhat similar case. But they were relatively educated and rich. Which, while bringing in it's own set of issues, covered a lot of other issues.

However, several countries are headed on US path. Personally I don't see how uneducated migrants can get to median life in a generation or two. Especially with less and less industry and more automation. Different culture and poverty is highway to US style racism/xenophoby/etc. This is one of the main reasons why I'm against migration. Today's Europe can't give good life (by Euro standards) to millions of uneducated people from different cultures. Importing people and then keeping them as underclass is not good neither to newcomers, nor to host countries.