Talk about moving the goalposts. You stated so yourself this is your headcanon. You're assuming through the introduction of these characters, based on your own beliefs that they would have these powers despite the show never establishing this themselves, that these three gods would have control of, or interest in, maintaining destinies and having reincarnation.
As for me? I don't think I moved them at all. That Scottsman example I gave? It's not the same Scottsman. It's a different Scottsman. It's not the one that lived and suffered, it's the one that worked and had a different life altogether. It may be the "scottsman" genetically, and perhaps in "soul", but not truly. It's a totally different person.
And the fact I have to explain this very classic issue of self-identity is really depressing. Fuck it, you're a lost cause.
Yeah, everything's great. The show never showed it but you're right. Everyone comes back to life sometime in the timeline, have fun lives. Have a fucking picnic sometimes. Maybe when they all die they'll all go to Valhalla located in the Field of Reeds before they are reincarnated into new souls and pal around with Ol' Jack about the good ol' days from an alternate timeline when Aku was still around.
Go get on your deviant art account and create some fan art of the scene. Sounds lovely.