Temugin runs the martial arts gauntlet

No rest between fights. As soon as one guy goes down, the next enters. No weapons.

Captain America
Kingpin
Lady Shiva
Batgirl
Richard Dragon
Bullseye
Elektra
Catwoman
Shang Chi
The Mandarin

How far does Temugin get?

Beats the hell out of everybody up to his dad. I have no idea how a fight between him and Mandarin would go.

ps The order of the list is very random, yes?