Basically, within a mere week, House is gone, Yes Man is destroyed, killing Benny's dream, NCR and Legion retreats back to their lands and ignores the Mojave.
The land is ripe for the taking.
Which faction do you think would become the most powerful one and how do you think that the Mojave would change?
There are no Securitrons stopping anyone from entering the Strip anymore.
Khans are no longer oppressed by NCR.
Powder Gangers don't have any NCR to rebel agaisnt anymore.
What would happen?