Here’s an idea: separate into two organizations.
They would then be combined into one organization again after the trannies take over the women’s national team.
GMTA. That was my exact reaction on reading that the argument about which group brought in more viewers and revenue didn't fly. Separate the organizations; have an umbrella co-ordinator if necessary that isn't involved in the detailed business (training, logistics, TV revenues, etc) if needed.
Like, the WNBA and the NBA. Or, the short-lived Lingerie League and the NFL.