To me this is like telling "Government will be right for everyone this time, if we tweak the parameters right". Applying rules of Empiricism to large scale governing will just make things worse as long as people have very different world views.
Besides, locality has inherent advantages such as familiarity, cultural similarity and accountability. So at least some local governments will be probably suitable for your liking.
I've lived in a small, rural town in Texas and a big city in New Jersey. While the dynamics of local power are very different, I never felt like anybody in power was accountable to me (I am a nobody).
The power of two or three wealthy families is readily visible almost like a movie in a small town. The power structure in a bigger city from what I can gather is a little bit more complex since there are more players. However, I don't think "the powers that be" in a local level are any more accountable to the governed in a localized setting than in a national setting.
I mean think about the last HOA you lived in and tell me you felt the power structure there was "fair".
Besides, locality has inherent advantages such as familiarity, cultural similarity and accountability. So at least some local governments will be probably suitable for your liking.