I got a superglue at a craft shop that is formulated specifically for use on plastics and vinyl, but it didn't say anything about being archive-quality. Since it is a craft glue, and I didn't see any that specifically mentioned being archival quality, I just hoped for the best. I'm not sure whether rehairing technique would require a different sort of adhesive, though...I mostly got it to fix a broken Fantasy Filly wing, lol.
I would never have thought to use Mod Podge as an actual adhesive for stuff that's more "substantial" than paper...I used to use it all the time, but just for decoupaging newspaper and magazine cut-outs to my Converse