Actually it is not contradictory, I am basically proposing 2 different teams. Meaning different staff, different players and different leagues.
And as I already mentioned it most likely will indeed need a separate server so it will be a second BB game.
Probably the only link between the two games can only be the forums and help discussions.
But I guess ultimately it is an interesting idea but one which is not easy to implement (probably when I strike the lottery- which is never)
But I don't think the alternative of mixing female and male players within the same team will be good. As the real game does not have mixed gender within the same team.