The problem is, both systems are corrupted by the powerful.
Europe is not an effective counterbalance for the US.
Absolutely true. But it wasn't designed with the premise to be one. And while some parts of the system should be redesigned (but I actually don't object to a EU superstate which many people do) to make the EU more independent of the US in the future, not everything should be rebuild under the premise to counterbalance the US. It is as well not build to reduce bad Chinese influence in Africa. The EU has no single strongman position who can speak for Europeans, like the US president can for the Americans. Such a position would clearly help to counterbalance, but it would be against the general European way of doing things. The EU has made war between some of the longest enemies in history impossible, the EU helps countries devasted by the real existing communism to master their situation in a difficult world. The EU saves cultural divergence, and offers a framework for common tasks as environmental protection in an atmosphere where national thinking of 'My country first' still plays a big role (don't take ETers as the common man), with people with different historic experiences and interpretations of it, languages and economies.
I think if liberal Americans hope that the EU will help them in the sense as to influence the US to become more in accordance with their position, they will always be disappointed. Phlegmatic apathy is the best you should hope for, everything else is bonus. Der Amerikaner ist die Orchidee unter den MenschenVolker Pispers