There is a full chapter in the Sahih Bukhari mentioning women in the battle field - Women gave water - they give first aid to the soldiers.
Because the Qur’an says ‘Man is the protector of the ‘Woman’.
Under normal circumstances, the women should not go to the battle field. It is the duty of the man.
Only when required, under necessity are women allowed - and they should go to the battle field if they want.
Otherwise you’ll have the same position as you are having in the USA.