Theoretically, no.
Obito acquired Kurama's chakra thanks to Edo Tensei, via Kin & Gin brothers.
If there was no Edo Tensei, he'd still have to capture Kurama before reviving the Juubi. Naruto would still (most probably) go through the Bijuu bonding process which would result in his current state.
Besides, while Naruto would have to send out clones to get rid of White Zetsu's, the Alliance wouldn't suffer nearly as much damage due to lack of ET.
Think of it this way.
All the Kages, the Shinobi Alliance, BM Naruto, Bee & Hachibi against Obito and his Gedo Mazo.
It would still be one hell of a fight but I doubt it would end in the favor of Obito.