That false accusations happen, no doubt. Im willing to believe that its a decent percentage (as in not less than 1%).
But in the military (or for that matter, the police)? Uh huh, no way. It is abundantly clear when in the forces or cops that a accusation does more harm to the career of the accuser than the accused. Unless your willing to sacrifice your career to screw someone over, it just aint gonna happen. Its a way different atmosphere than civilian life