I guess homogenity is a bit in the eye of the beholder. There isn't a lot of difference between the UK and Norway in that regard with respect to percentage of non-natives. And regional differences is in many regards more pronounced in Norway than in the UK.
A lot of countries had problems in the 70s due to the oil shock. And I would say in many regards Thatcher and Reagan made made problems worse.
I think to talk about world immigrants and a "Norwegian dream" is a bit of nonsense. Same goes for the "American dream". You cannot compare a country of 330 million people to one with 5 million people in this respect. A small country will simply not be very well known. That is not a reflection of whether the system of life offered in that country has a general appeal abroad or not. You cannot talk appeal of a country, if people don't know your country.
The average immigrant to the US isn't going there because he/she is buying into the value system or economic model.
Germany and the UK have not typically had an illegal immigration problem. That is a very recent phenomenon, and not a significant problem for eiher country.
The EU is indeed driven a lot by neoliberal thought. Which is why I would want to exit the European Economic Association which Norway is part of. However I am not in principle against the EU. I am against EU in its current form and where it is heading. A scaled back EU would be very much more to my liking. I do believe in European cooperation. But not the current trajectory moving towards a European superstate. That will only end in misery.