Fighting for your freedom is.
That's incorrect. Men are better at fighting than women, no matter what the prize is. Therefore, "fighting for freedom" is not a gender-equal arena.
You should understand that I don't mean "fighting" in the figurative sense, like when you fight to succeed, or fight to get a candidate elected; rather, I mean literal fighting, where you shoot, stab, punch, kick, and bite in an effort to survive and destroy the enemy. The idea that women are equal to men at this is a romantic notion, and the sooner you are free of it the better.