Firstly, inner-European differences are almost by definition smaller than, say, those between Europeans and Asians. Of course there are still cultural differences between Greeks and Irish. But to deny similarities is equally misguided.
Secondly, these differences are getting smaller and smaller. Timothy G. Ash calls it "The Easyjet Generation": young university students, used to cheap airline travel, are creating a unified European culture. I know young people from almost every European country and I feel more connected to them to, say, my 50-year old working class neighbours.