The women have been demanding "Equality" and an "end to sexism" so fine, they get to register for the Draft as well. Rewrite the Selective Service Act to be completely gender neutral. All non-binary and those genders not found anywhere in Biology get the equal chance of being Infantry
The best part will be slowly letting them in on the fact that illegals can't be drafted since they are not citizens.
IF citizen = yes AND age = 17-45 THEN Selective Service Registration is required. Done deal
Artillery shells are absolutely non-biased, always "To Whom It May Concern"