That's not how it works. The Congress as a whole does not represent the US population as a whole; it's not supposed to, and I'd argue it would be a terrible idea if it did. You have one representative, who represents one district. If the whole Congress represents the whole country, then no individual representative represents any specific area.
If a district in Vermont votes 60% R/40% D in favor of a Republican, and a district in West Virginia votes 5% R/95% D in favor of a Democrat, then that argument would say since the total of the two districts is 32.5% R/67.5% D (assuming equal population districts), the "congress" of two districts should have two Democrats, rather than one of each. The Vermont district should have no effect on the representation of the West Virginia district.
Frankly, I would consider myself more towards the "anti-democratic" side: I'm much more on the side of "democracy is two wolves and a sheep voting on what to eat for dinner". Not that the foundation of government shouldn't be democratic, but there need to be very solid protections in place to prevent a majority trampling on a minority. If anything, our system has become too democratic recently; very few of the rights in place to protect us are still respected. (I guess our 3rd Amendment rights are still pretty safe, but other than that.)