What equipment does Ryu have? Does he get any rest/health reset before matches?
In any case I will assume Ryu has access to all his weapons and abilities and well...I will take the order as it is....
1. Hayabusa can possibly take 6-7 from Grey Fox.
They both have comparable speed and skill.
Cyborg Ninja is stronger and more durable.
Hayabusa has teleportation and Ninpo.
2. I assume this is Sub Zero 2 since Noob Zaibot is also in the gauntlet. I think Hayabusa can take him without much trouble.
3. I think Hayabusa can handle Scorpion as well...even if Scorpz teleports him to his realm.
4. Noob Saibot: No idea. Haven't seen/heard much about Noob. But isn't he like...immortal or something like that? Immortality matters not anyways. I'll exclude this one since I can't make a proper assessment.
5. Shadow: Hmm...ok...Excluding gameplay...what has he done? Excuse me for not playing the holy FF6 long enough to see Shadow's glory.
6. Joe Hayabusa: Unknown. We haven't seen him do anything. He should be superior to Hayabusa, but unless he shows it he ain't getting any praise from me.
Like others stated before the order is ****ed up. If he Hayabusa doesn't get any rest he should lose the gauntlet, but then again I have never seen Hayabusa getting tired or anything close to that so I dunno.