The flaw in your reasoning is that the EU is not a super state.
It very much is. The EU creates laws which its member states must enshrine into their own legislation. That's pretty much the definition of a superstate. It also has its own bank, currency, court, police force, etc.
It's an economic block of independent members who can veto decisions
Only a small subset of the decisions can be vetoed. The rest are binding.
It's not engaged in military operations.
... but the Commission president has other ideas. (Update 18th Dec: he has got his way)
You may argue the pros and cons of the EU as an institution (and there are both) but its status as a superstate is incontrovertable.