There is another problem: EU politicians would immediately use this against each other. For example, the Spanish governments in Barcelona and Madrid constantly do anything they can to sabotage each other. And this is not the only such pair. Hell, the French and German governments, the main force behind the whole EU, still hate each other.
The amount of dilly-dallying on the Israeli question (which is at the heart of the OP issue also) is enough evidence that the EU is a has-been power - they can't even make up their minds, what with France against the Iran strikes, while Germany likes Israel "doing our dirty work".
And both are centre-right governments to boot! If the White House is the clownshow in the circus, the EU is the acrobatics act.
