Several approaches can be employed to counter pervasive monitoring at large scale on the Internet. One category of approaches aims to harden the current Internet architecture and to increase the security of high profile targets (data centers, exchange points etc.). Another category of approaches aims instead for target dispersal, i.e. disabling systematic mass surveillance via the elimination of existing vantage points, thus forcing surveillance efforts to be more specific and personalized. This paper argues how networking approaches that do not rely on central entities -- but rather on spontaneous interaction, as locally as possible, between autonomous peer entities -- can help realize target dispersal and thus counter pervasive monitoring.