The connection between the two is unconfirmed, possibly nothing more than a very uncomfortable coincidence. I don't like it, but that's the highest probability.

Unfortunately, Vulcanus operated without any sort of face after losing their pretense of legitimacy in the City. Candy Deconnick was the originator of the Metamen process that birthed their campaign, but she later turned coat, and whatever information she may have revealed was never made known. The more prominent names from New Vesuvius had no parallel elsewhere, like President Teresa Wertham. Eden East is a name I'd never heard before arriving in this world.

I suppose that's what made them truly effective, that there was no true identity behind their philosophy, no knowledge of their organization or hierarchy. They could have been anyone who simply wanted us out of that world.