meh...you're dodging my questions (the ones I asked afterwards anyway)

name a single thing Kratos could do to hurt Link..please..enlighten me

if you can defeat me in a battle of wits I'll give up and declare Kratos the winner

Just like it's magical thinking that Link killed an evil sorcerer?  Dude, that's actually part of the storyline in those games.  So yes it IS fair game that Kratos killed two gods BECAUSE it's part of the GOW storyline.  The Zelda storyline simply doesn't have the luxury of that because there are different Links in several of the Loz's.  As opposed to the GOW storyline which has a sequel one after another still containing the same storyline in each installment.

@Swyggi They all take place in the same universe(except the timeline splits but the same universe still) so why wouldn't it count?

Now which Link are we talking about since there have been many of them....

 What questions?  I just answered them.  Kratos by storyline is a much more powerful character therefore he would win.  It's that simple.  What? You want a step-by-step explanation?  Too bad, there IS no explanation because that would include gameplay elements from which any random thing can be said.  There's so much unknown in that area that we'd never get to the bottom of it.  You yourself would keep constantly saying things like "Well Link could do this if Kratos did that"  it would be a neverending discussion.  Storyline is the ONLY way to decide the outcome in these kinds of debates. 

 Timeline splits or not, they're different.  There's not even a Ganondorf in some of them.  Certain things like places and people would have to remain the same and then stack upon each other for a direct sequel in order for two or more Zelda's to be together. 

MM and OoT are really the only two that come to my mind due to Link wanting to travel on his own after the OoT events happened.

@Swyggi, but all these items still exist, and could be obtained. Also Link was searching for somebody(most likely navi) then there is evidence that a certain number of games take place after he is returning to hyrule from termina. Also they are basically the same person but he is reborn. Pretty much the same for Zelda, and some of the Ganons.

Is anyone else noticing that the arguments for Link go into detail on weapons, items, the way they can be used, point out that Link has also beaten Gods and ways in which he can become invulnerable, as well as tactics that can be used to counter Kratos attacks and tactics.

Arguments supporting Kratos constantly go "Kratos would kill Link"(no other supporting points made) or "Kratos killed a god/is immortal" and "Kratos led an army, which somehow is proof he's not dumb, and not easily tricked, as one would be led to believe by how he was apparently tricked into killing his own family"

When I first got into this, I thought it would make a really cool debate, but the only place I see any real thought taking place is on Link's side. So this is kinda getting boring now.
Is there maybe someone who can actually offer a compelling argument about how Kratos would take on Link, defend against Link's attacks, successfully deal with his defenses, and then actually manage to attack successfully? I mean, with that it would at least make it look like Kratos stands a chance, but with arguments as they are now, I'm actually MORE convinced that Kratos would get his butt kicked.

 They could be obtained, but weren't part of the main storyline therefore not canon.  Several of them are never mentioned as key elements specifically in terms of use for the storyline.  The Master Sword is canon because it's a key element in the Entire of Zelda.  It might not be in some of the 2D Zelda's yes, but you could still use it in an argument for the other Zelda's who had it like LttP or OoT.  That's what's confusing about Zelda in this, when it's appropriate to use an item as canon.  The only thing you can really do is pick a Zelda and use what Link can do in the storyline in that Zelda as an argument.  If it doesn't work out, use another one, but you can't mix them unless they're actually a part of each other. 

It's true that Link was reborn as someone else plenty of times, but many of those times he was reborn contained so many different entities and characters that it wasn't the same world with the same physics.