But this makes zero sense. Two different continents, values systems, law systems. Not to mention the current USA administration is openly hostile to Europe. So why would anyone confuse the two.
Europe will not be independent as long as there are US military bases there. Saying otherwise would be kidding oneself.
Europe is at the mercy of the USA. Any difference in posture is due to local politics which can swing local elections, but European leaders are willing and eager to do what the US wants.