Right now adversaries attempt to warp what people believe by pushing them to make connections to more extreme elements, this would be less possible if the social network were built in such a way that would expose fake or low trust profiles.
The web of trust would resemble Page Rank, more than modern day Facebook. For example, Bill Kristol may be trusted by people like Ezra Klein to such a high degree as to not just bring him within your bubble, but to be part of a social network feed that would provide a blend of opinions.
I'm not saying this is easy to get right, but it's necessary if we want to have open platforms like Twitter to survive gamification by nation-states and brand marketers.