Your thinking is not very elastic. Extra levels of government are not on my agenda. What we need to do is eliminate national governments, or greatly attenuate their powers. In the 21st century, the nation-state has outlived its usefulness and has become mainly evil in its effects.
If we are to survive, we must move to a world with global organizations of power and influence, and below them very little government except local governments and non-governmental organizations (NGO's). Our present nations should be little more than postal addresses.
Nation states are johnny-come-lately gimmicks. Before they arose, Western society consisted of supra-national powers (the Church, the Hansa, international banking, etc.) and local, feudal domains. The "nations" were weak, or virtually non-existent.
I certainly would not like to go back to the feudal society of the Middle Ages -- but that type of society worked, after a fashion, and we could create a much better version of it in the 21st century.