I believe Team Dante will take the vast majority in this battle. Not only are they faster, stronger, more intelligent but they weapons are more modern and have great range and they possess a larger amount of potent magic. Honestly Nariko is the weak link as she seems to lack the destructive ability and speed to compete, I think Samanosuke would have made a better combatant but thats an entirely different story.
Nariko is no where near destructive as Kratos, Dante or Ryu. So she can kill thousands of enemies in one attack, that form or whatever you want to call it at the beginning of the game when she is invulnerable to attacks and has infinite super style is no different than Rage of the Gods or DT, and using that form is also dentrimental to her health. Regardless, Kratos lacks the speed, durability, strength and intelligence to fight and win against Dante/Ryu. Ryu can blitz Kratos and lop his head off or Dante could blitz, reflect his attacks, dopplegang him, stop time, teleport and kill him etc. The options are near limitless. ROTG won't save Team Hayabusa
As usual, Ryu ignores a buxom babe right in his face, so he gets bummed by Kratos who explodes his head at the exact moment of orgasm for that extra thrill. With that he fucks off to Mount Olympus to take his rule as a god. That leaves Dante and Nariko to get the party started and engage in a spot of horizontal jogging to the tune of NIN’s ‘Closer’.