Nah director said Cole is a new character in this videoAs for Cole... I think that's Johny Cage, they just changed him from Jean Claude van Damme to an MMA fighter because that's more modern since there aren't really any martial artist lead actors in Hollywood anymore.
His nickname will be Johny Cage or somebody will call him that once (probably will have something to do with him doing cage fighting).
Wouldn't make sense to not have Cage in the movie and there's no Johny Cage listed on IMDB so this makes the most sense.
He even has bandages wrapped around his hands in 1 scene like Cage does in a lot of the games.