You are 1005 correct that organizations can, have, and sometimes should, win this prize. And you are correct about the past 60 years being peaceful. Of course most of that time of peace was maintained by the presence of a cold war, so the whole thing is abit more complicated than the picture you paint. It was as much about the enemy of my enemy being my friend, and mutally assured (nuclear) destruction, than it was about some grand vision of peace.
When those fact are added to the my question about what Europe living in peace and prosperity you are looking at, I wonder how wise this really was, and that it puting it mildly. Europe at peace? Ultra-nationalism, neo-fascisim and hatred of immigrants is rising faster in Europe than it has in all of those past 60 years put together. Prosperity? They are rioting in the streets in at least half a dozen countries!
Can we learn from the Europeans in many way? For sure! But let's not lose perspective on what Europe is, and where it could be headed.