So it’s not well founded that Law and Kid will fight Kaido when Kid was shown on panel with Luffy declaring that he was going to get even with Kaido and when Law is one of two people that personally picked a fight with Kaido, to the extent that Kaido himself called Law out by name?
Yes, Law and Kid are Luffy’s peers, and that is an accurate statement. Their portrayal at Sabaody cemented that immediately. That Law is Luffy’s partner in his alliance an indicator, and Kid formed his own alliance is another indicator. A Straw Hat can’t compare to the for the same reasons that they’ve never been able to compare to any of Luffy’s enemies; because they’re Luffy’s. These are guys that Luffy will be contending with, not them. It’s the same reason why Rayleigh, despite being a legend, was not Whitebeard’s peer. Roger was.
While I agree on your points regarding Kid's seek for revenge and Law's part on the plan against Kaido, I disagreed with how you basically assumed it as fact.
Regarding the peers thing, I totally disagree. Whitebeard was Roger's peer for many reasons, especially because of their almost (if not totally) equal strength plus their absolute prominence as top figures of their era (even Buggy, if I recall correctly, refers to their reputation battle). As of now we should expect Blackbeard to be Luffy's peer (not only because of his significance as an antagonist but because of other characters betting on him for king of the new era), but that's it. At this point Law seems to be quite below Luffy in terms of strength, authority (he even subordinated to Sanji with the Page One issue) and impact in the big picture. He isn't special enough to reach that high in anything: hasn't been impressive strength nor crew-wise, let alone in terms of military power. About Kid we don't know enough, and while having CoC is a great start, he lacks a proper core crew as of now (hopefully this will be fixed by the end of Wano) and we don't really know his potential as an actual top figure.
At the end of the day, the Straw Hat can't compare to any of Luffy's enemies because they're Luffy's. I agree. Problem here is how you're assuming Law and Kid are Luffy's enemies. Things aren't looking good for Law in this regard and won't surprise me if both Zoro and Sanji end up above him. I truly can't see him as a contender in any regard. We'll see what happens to Kid.