Should women in the USA have to register for Selective Service when they turn 18?

Men and women are completely equal in the USA. Women and become men and vice versa. If this is the case shouldn't women be eligible for the draft and register for selective service? If not why?

Yes they should have to register.
No they shouldn't have to.
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Should women in the USA have to register for Selective Service when they turn 18?
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