I am not so disillusioned to think that there isn't somewhere in the Army 1-2% of the females that would be able to pass the school.
I disagree.
Remember Renee Richards, the transsexual women's tennis player of a couple of decades ago? She started off life as Richard Alpert, and as a male played varsity tennis at Yale. There was a lot of resistance to allowing her to compete as a woman because of the fear that, despite gender reassignment surgery and hormones, she was still stronger physically. In a recent interview, Dr. Richards confirmed that this was, in fact, true. She said that, in retrospect, it wasn't fair for her to have competed in the women's circuit.
And, more recently, we have an opposite example -- the girl who was recruited to Harvard as a swimmer and who is a national record holder as a female, but she identifies as a male. So far she has had her boobs removed and is taking male hormones, but has not undergone gender reassignment therapy. She now competes as a member of the men's swim team -- where she is not especially competitive.