LW50:-
No, they are not in a federal system analogous to the United States of America that was fully established by the Constitution of 1789. Not by a long shot.
Indeed not, Lonewolf, but that is the very model that seems to be behind the ever closer union agenda of the EU. You, no doubt, have your own ideas as to what later led to the 4+ years of bitter civil war, but the Proclamation of the Confederacy made it difficult to avoid as far as the US Government was concerned, and the shelling and taking of Fort Sumter made it unavoidable.
Of course, 21st Century Europe is different from 19th Century USA. It is not beyond possibility though that under a revered, dynamic, and charismatic newly elected President of a now Unified Europe that the economic tensions between the North and South would finally erupt. Unlikely? Perhaps. Impossible? Hardly. Then all the agenda would be as nought as the very situation that unification was meant to prevent (courtesy of Melmoth) becomes hideously possible. We don't have to stick around to find out.
The EU no doubt has enabled cheap flights and high speed trains throughout its territory. Others made the trains run on time and built new freeways. Neither were guarantees of peace in our time...