You can't paint all immigration with the same brush. I'm sure no country would deny an immigration wave of Japanese professors or Swedish engineers. There is a very specific problem, that has accelerated in recent years and that is Muslim immigration. Chinese that got to the US see themselves as American; their second and third generations definitely do so. They integrate, assimilate and become productive citizens (and hot females). This is not the case with the immigration to Europe. You don't go to Europe to become a European and name your child Mohammad - it doesn't work like that.
The question is, for how long a country can tolerate such a demographic cancer, that breeds violence, siphons money and sabotages the core values of the host. Only when you go to Europe, to cities like Marseilles or Brussels and see how these cities have morphed into something decidedly non-European can you realize what a tall order is the EU facing.
For years now I've been predicting that EU politics will go deep into the right, fueled by this problem, and so far I'm spot on. In few terms, those who are considered "extremists" might become mainstream. There is an inherent danger to the stability of the EU bloc, considering open border policies and nationalistic sentiments floating up in such cases. In few years, we'll see a massive reduction in social benefits to immigrants, mass expulsions back into Northern Africa and the ME and much less tolerance towards Muslim, combined with a countering rise of Islam-sponsored violence.
Never heard anyone say that before, but a very good friend of mine is Chinese and not a citizen of the USA(yet). He refers to himself as an American and this as his country.