I have been to Europe many times. I like it there and might even think about moving to Germany if it wasn't for my conscience not letting me subject new coworkers to my horrible American accent on a daily basis. But by dominance, I do not mean strict military oppression. It's all about the dollar and economies and the Euro has enough troubles and the EU fractured enough that there is no need for any military against them. Instead we use our military as leverage for them against others in many cases so they will fall on our side. The only reason the US was involved in Tunisia is because Europe discovered it couldn't run large operations there without NATO/US resources. When push comes to shove we'll use our military like we did in Iraq. The only countries against our adventurism there were France and Germany, coincidentally the countries running the oil operations already for Iraq. In the end, they had to deal with it. Russia doesn't want to deal with it, but we'll probably not encounter them directly, but just sell arms to their enemies like we have been doing since the end of WW2. The idea of actually using the military for acquisition of land has pretty much been put to bed along with installing noble houses. Instead, militaries are being used to keep economies strong.
Which worries me some. The US is spending lots of money on the military and it doesn't seem to be making us money. Well, I'm sure it's making somebody money, but is the US coming out in the black? If we shrink our military, would our economy shrink with it, causing a lack of confidence which will cause it to shrink some more in a vicious cycle?