In a caged 1v1 no gimmick single weapon Duel: Why the hell would link ever participate in that?
In a battle of tactics using a variety of fairies, Chateau Romani for infinite Mana, explosives, support arrows (Ice arrow CC spam! Light arrow dark alignment bane!(likely also stun)), Immunity to damage (Nayru's Love), Ether, Bombos, Quake Medallions, Farore's Wind if a tactical retreat is needed, Cloak for invisibility, Dash shoes to out range and use the bow some more.
Giant's Mask to be a temporary God of War boss, Fierce Deity to become a God himself, Zora for immune to damage shield that stuns.
Seriously how much do I need to list?
If you go by "What the character has done" Link is far more experienced, He's an IDEA, a heroic mantle that transcends time and blesses descendants with the courage to overcome anything.
Even if Kratos won, he would be back in a hundred, maybe thousand years.
Everyone likes link, he has the world on his side.
Kratos is an angry unlikeable murderer? God or no.
Edit: There is a lot of "Kratos is big and strong and kills gods!"
Link doesn't? He fights dragons 100 times his size atleast 5 times a games, he has players doing this on speed runs with 3 hearts.
Majora's Mask had the power to will the moon to it's cause.
A rampant evil destruction that plagued a world.
Link was there. Not only stopping that god but also solving every single persons problems one by one, confused, lost, reason to be angry.
Link did not succumb to rage he was brave and stood for his beliefs, Kratos does not have sound enough mind to compete with a Hero like that, just enough to mindlessly kill his mistakes.