Wait a sec, I think I see a flaw in the plan...
If the counter-world would get TP'd through the portal, then it would get sent to the Nether. If we're talking shoving and entire PLANET into the Nether... It would eventually cause the dimension to break over the amount of space being taken up since the Nether could have limited space. That may ALSO punch a hole in space time...
I think a End portal would be a better choise... cuz the void is endless.
Not trying to be a nick-pick here, just sayin'....