EU is a very special globalization project in cultural sense. It tries to incorporate very different and powerful national cultures into one state.
Before there were empires, which did the same. But empires tried to do it on the base of the differentiation of functions between cultures. Which implies inequality in many senses. EU tries to do it on the base of economical and lifestyle unification and this is the idea of globalization.
USA is a pure national state while Russia keeps many features of empire.
(offtop: I started to type word "EU" in Russian layout and suddenly...)