Wouldn't it maybe make sense for the EU to possibly establish their own quasi representative democracy? Maybe each nation-state keeps it's current government. T

Wouldn't it maybe make sense for the EU to possibly establish their own quasi representative democracy? Maybe each nation-state keeps it's current government. The head of the government becomes a 'chancellor' i.e. President among other Presidents. Every 2 years the Chancellors elect from among themselves who will lead (be the deciding vote on ties and conflicts of opinion). This would still give some autonomy but also congruity and fix issues where one party does not agree by having a designated decision maker. But all policies enacted by the EU would need to be binding and accepted by all nations as law.