World government

What is, or should be, the Catholic Church's position regarding supranational institutions, such as the EU, a position compatible with its own doctrine or orthodoxy? My interpretation is that it should favor them strongly. (see here for a sign of this).

Ultimately, the Catholic Church's political model is a World government modelled after the family where all children of God live together in peace and brotherwood. Catholic itself means universal. Thus, One Government, One Church seems to be the Catholic Church's political formula for the whole of humanity. Obviously, following her own example, this should be achieved by persuasion rather than by force.