> In fact no European country should be OK with that
Russia's brutal annexations in the east following WWII pretty much assured that all European countries were, in fact OK with it.
WWII was the result of Germany trying to take over the continent. That led to Eastern Europe being invaded/liberated by the USSR and Western Europe being invaded/liberated by the US.
It's not correct to say that all Western European countries were/are OK with US power and presence. The major powers were divided on that. Germany obviously did not really have any say, France did not want the US to stay, the UK thought that it'd help them look more important than they had become. But smaller countries may see the US as a guarantee against larger neighbours trying to invade again, as I mentioned, a bit like South Korea does.
