I don't think he seriously 1v1d the others
Kaido and Whitebeard were Nakama at a time, and Kaido clearly had respect for him by saying that Whitebeard did it right when it came to his death. I think Kaido was coming to Marineford to HELP Whitebeard save Ace, because Kaido hates the WG, not Whitebeard.
Kaido on God Valley wasn't strong enough to fight Roger, IMO, since he and Garp tag-teamed Rocks.
We've seen no evidence of Rocks attacking his own crew, so I doubt Kaido would have fought with him, especially since he seems to respect Rocks.
And I think Shanks didn't fight Kaido, just told him that "Hey, you can go attack Marineford. My crew will just take back Oden's country, Wano, while you're gone, okay, Kaido?"
Kaido could have gotten scarred by a lot of characters (if Zoro could scar Kaido on the rooftop Mihawk obviously could) by swords/elemental attacks, but, he never fought them.
This is why swordsmanship matters in this series: Big Mom is more powerful than Zoro, but, she couldn't scar Kaido fighting with him for, what was it, two days? And Zoro scarred him while half dead. Swordsmen are dangerous BECAUSE their slashing attacks are much more likely to slice things apart then punches (obviously).
There's a reason the only two characters to scar Kaido are master swordsmen (Zoro and Oden).