Sagat by default.
Or seriously, Team 1 would win but with a lot of effort. King and Marduk are a fearsome tag team and would do better with Hawkfield on their side, but Sagat, Zangief and T. Hawk would overcome the Tekken/VF team, in my opinion.
Edit: Didn't know at first those guys were included also. Don't know who this Jeffrey Mcwild is but with Paul on Team 1's side the chances for Team 1 increase dramatically. Paul would own Edmond, that much is obvious.