Anyways, while the Antithesis trick would probably kill Kratos, it would have to work, and I don't think it will.
The Antithesis is manipulating causality, technically. It reverses everything that happened between any two points, and applies the resulting effects with little regard for whether or not the characters should resist whatever's happening to them. Case in point, Senjumaru, who has full control of her Bankai, and yet was trapped in it when Uryu reversed their positions.
As Kratos resists causality manip, he should be safe from The Antithesis.