At least the same amount of things Nevada has in common with Florida.What does Germany have in common with let say Bulgaria... Or Romania...
Romania, Bulgaria and Germany: Same continent, same cultural roots (Romans and local tribes that were influenced by one another, the migration period, many small principalities that begin to merge during the 19th century, Bulgaria was badly affected by World War II while Romania actively supported Germany, afterwards all three countries had a socialist regime if one takes the existence of the GDR into account), same climate (and thus basically the same animals/plants), similar religions (orthodoxy is closer to catholicism than protestanism is), and similar types of democratic governments (I'd be very careful to say that we have less corrupt politicians than another European country), the same alphabet (well, in case of Romania), the same numeric system...none of that can be taken for granted and all of us are interdependent, some more than others. That's one of the reasons why some people think it's necessary and possible to develop the EU to become more like the American system.
Suffice to say that we also share a lot of similarities with Americans whose ancestors came from here.
I don't deny that there are some economic and social (both non-permanent) differences that are used to make the countries look more different from one another than they are and that happen to be polarizing. But why don't you think of Spain, Italy, Greece, France...? How are they any different from those countries, save for language? If I were to pick European countries that are totally different from Germany, that would be Switzerland, Luxemburg, Liechtenstein and Ireland (I wouldn't even pick Turkey).