Ordinarily, I would agree that women should have to sign up for the selective service, or be subject to being drafted. (equal rights, equal responsibilities.) However, and I don't mean to start a bad argument, but as someone who has served in the military, and seen women in the military, I hesitate to even allow women in the military, much less require them to do so. Don't get me wrong, I have seen some tough females in uniform, and they have my highest respect, but the vast majority of females I have seen in uniform leave much to be desired.
One more point before I finish this up. I remember when I was in boot camp, and the Senior Drill Instructor sat us all down, and asked us about ladies in the military. We told him what we thought, and afterwards, he brought up one point that none of the recruits did. He said that men naturally want to protect women, and if a man were to try to protect a women out in combat, instead of counting on her to follow her orders, he might do something that endangers the whole unit.