The problem is not the culture, but decisions taken for them without their consent, for example Hungary or Austria being told by external powers(Germany) that they need to accept millions of Muslims. Not different from the US external power telling them that Russia is their new enemy and they have to go to nuclear war because the US tells them so.
I have traveled and know most European countries and I don't understand what you say about being more culturally compatible with the US than with Germans or French.
Europeans are very similar in culture. For me the difference is mainly in language or in having lived communism or not. I have lived in China and I know what a difference in culture it is.
It is not just the culture, but even the mountains are different in China, the trees are different.
I mean don't get me wrong, on the individual level and once you know a person, it does not matter where they are from, but nationalism/language differences is what allows for a place that is relatively small to have so many countries to remain separate entities and it's the driving force behind the euroskeptics. Exacerbating those feelings is what led to the World Wars.
Probably won't matter in the future. English is cannibalizing all the other languages. English is the official language in Hong Kong. Not many Chinese know English yet, but they probably will.
China is going to remain to be a world within a world. Too few people will be willing to learn Chinese anyway.
There are literally millions of Europeans that are culturally more compatible with the US than with the germans / french.