Naruto would't have the Bijuus.Sasuke wouldn't have Rinnegan. That's all.
Why is that? Your telling Naruto dream of unity is only cause of reincarnation? Like if you can't have a dream like that whit out being the Reincarnation Of Asura?Their rivalry was (sounds corney) destined. Sasuke's hared, Naruto's dream of unity--all of it due to reincarnation. So, yeah, I say they'd be different.
What? Why not? The sage didn't give him Biju chakra.Naruto would't have the Bijuus.