Yes, but too many of the EU leaders and elites want to create a United States of Europe, with the Commission/Parliament hybrid as an even more dysfunctional equivalent of Congress (imagine how productive Congress would be if everyone had to speak through an interpreter).
It's actually worse than that though. The EU Parliament doesn't really deserve the name. It can't actually initiate legisliation, so it's meaningless for EUP parties to have any actual policies, so they don't, so there's no formal opposition either, so nobody cares about them and ... therefore ... (phew) turnout in European elections is extremely low. Most people can't even name their MEP, and why should they be able to? That MEP has no power to speak of.
It's actually worse than that though. The EU Parliament doesn't really deserve the name. It can't actually initiate legisliation, so it's meaningless for EUP parties to have any actual policies, so they don't, so there's no formal opposition either, so nobody cares about them and ... therefore ... (phew) turnout in European elections is extremely low. Most people can't even name their MEP, and why should they be able to? That MEP has no power to speak of.