Ending the draft will do nothing in regards to equalizing the responsibilities of war across both genders because even without the draft, only men would be conscripted to fight the actual war should an actual war break out.

Don’t make women register for the draft. Just end draft registration for everyone.
https://www.washingtonpost.com/posteverything/wp/2016/02/05/dont-make-women-register-for-the-draft-just-end-draft-registration-for-everyone

Intro/Outro Music: "Earthy Crust" by Jingle Punks. Courtesy of the YouTube Audio Library.
Background Music: "Stars and Stripes Forever" by The US Army Band. Courtesy of the YouTube Audio Library.

Monkey Image: "Male chimpanzee in business clothes - Stock image" by Lise Gagne. Licensed from Getty Images.