Here's the thing, Bob... the United States deploys its vast military around the world for one sole reason, which is self-interest. That is an indisputable fact. They say it openly.
Europe does the same. If Europe sees no benefit to their self-interest in the Asian Pacific region, that is their call, and their right. 
If you believe that the US has its military forces scattered throughout the globe in 150 countries and every ocean for unselfish or altruistic reasons, you are very naive at best, and certainly don't understand empires.