Yggdrasil Network

Ok, so as I understand it, yggdrasil and cjdns are virtual P2P networks that offer the normal layer 3 routing services, but built on top of the existing internet. So they still require ISPs and internet backbones, etc.

Are there any projects attempting to build a worldwide P2P network that can replace the IP layer? Like a mesh network that can operate without verizon, cisco routers, etc? I know of some mesh network technologies aimed at small disconnected networks but nothing consumer-facing and supporting anything more than a few thousand nodes.

People have been dreaming of mesh networks forever. Unfortunately they scale very poorly (among other issues) and this is a fundamental limitation of their design. The Internet (ARPAnet) started out as a mesh network and the concept of trunks, backbones, and routing came about to solve those scaling issues.