Just realized if that the 6 degrees of separation hypothesis is true, someone like me is only 6 links away from my polar opposite person (e.g. a militaristic rural religious fundamentalist).
This suggests an important measure of social health: how many network links from any given person to someone they fundamentally disagree with on social, political and economic issues. This can be extended using other aggregate network measures in the usual manner.
In contrast to analyses focused on identifying influencers, this would be a description of the network as a whole, aimed less at instrumental intervention and more at critical awareness.