From the NYT editorial page editor's blog:
Now that all American combat jobs are open to women, there is no longer any reason they should not be required to register for the draft.
Even though the possibility of a draft is small — it hasn’t been used since the Vietnam War — registering should be a matter of common sense. Women have fought long and hard for equal treatment and in December, Defense Secretary Ashton Carter announced that women will be allowed to play all military roles, including leading infantry soldiers into combat.
Requiring women to register for the draft would be the next step in bringing gender equality to the military services and in ensuring the Pentagon can draw on the broadest, most competent pool of recruits if the country — which now depends on an all-volunteer force — needs to call up tens of thousands of troops to fight a war.
It is also a matter of fairness. Whether anyone should have to register at all is a reasonable question. But as long as men aged 18 to 26 are obliged to sign up, women should bear a commensurate responsibility...
Among Republican candidates who have spoken out, Senator Marco Rubio of Florida, Governor Chris Christie of New Jersey and Jeb Bush, former governor of Florida, endorsed requiring women to register during a debate on Saturday ahead of the New Hampshire primary.
Of course, the libertarian position is that draft registration should be abolished not expanded under the pretext of "fairness" and "equality."
Be careful ladies, politically correct nonsense may eventually get you killed in the Middle East or otehr distant lands.