Also...Sasuke doesnt use Chidori like that much So i doubt it. He will just focus his Chakra into his Kusanagi which can basically slice through anything with the lightning chakra. You also forget that How is Wolverine going to cut sasuke with close range combat. When Sasuke is faster than him. And Sharingan predicts a person's movements in combat so they can counter effectively. Since Sasuke is much faster than Wolverine. Anything wolverine can throw at Sasuke will be rendered useless.
Cyclops with his long range beam will be difficult to get around. But replacement jutsu and Sasuke godlike speed should be able to get around it. Nightcrawlers telepooration will be difficult to get around. But once he gets caught up to. he is finished.
Also if Sasuke gets Kirin off....Wolverine, Cyke, and Night crawler are toast.
http://www.onemanga.com/Naruto/391/01/
^^^ Kirin. Only way Itachi is still survived is because of Susano's mystical shield spirit sheild reflecting all attacks. Even at the magnitude. So you should understand how strong Susano'o is. But even thought the attack was blocked by it. The shockwave from the attack alone still sent itachi crashing into hard from the pressure of the attack. Kirin is like an Ion canon. And i Cyke is not messing with that fire power.