I think your method has a lot of complexity under the hood. For example, you need a republican and a democrat to co-host a show. Does the republican need to be pro trump? Does the democrat need to be anti trump? Do you think a Liz Cheney and AOC hosted show would be politically neutral? You seem to have this idea of what a "textbook" conservative/liberal is, and I think that sort of binary representation is harmful to political discourse at large. You'll find democrats care more about government spending than some republicans. You'll find anti gun republicans, and pro gun democrats. Who represents each side? How do you make sure all viewpoints are represented (green and libertarian)?
This is the curse of dimensionality: https://en.wikipedia.org/wiki/Curse_of_dimensionality. the more complex the subject the less likely it is for someone to actually be able to represent the "Average" of everything.
This is the curse of dimensionality: https://en.wikipedia.org/wiki/Curse_of_dimensionality. the more complex the subject the less likely it is for someone to actually be able to represent the "Average" of everything.