Kratos would just beat the living crap out of any Dante. He's a god killer, Dante is only a demon killer, not so badass.
Except the word god is really just an empty phrase that means nothing without the proper context. A god from Okami is on a completely different level than one from God of War which is again on a different level than one ufrom The Marvel universe.
"Hey bridesmaid, love the beard! Give's me something to hang onto!!"- Lord Flasheart
The Gods in Devil May Cry, I feel, are stronger than those in God of War. The Greek Gods were powerful, sure, but they were not capable of destroying the world; only cause chaos.
I vote for Dante. Dante is much faster than Kratos, and when he Devil Triggers, he has a whole host of powers. If we look at Dante from DMC 1 and 3, even 4, Dante is more than capable of beating Kratos to a pulp.
Sorry, did that hurt? That "sorry" was sarcasm. I am not sorry.