The US government can compel a man to sacrifice their entire body ( and blood ) for the greater good of other citizens should they wish. [0]
The draft is also a temporary measure. As with other wartime restrictions of civil liberties, like curfews or rationing, it would not be tolerated if continued outside the context of a war.
Do you have a historical example of that in the roughly 300 year history of the US? Do you anticipate on recent Supreme Court rulings that they will expand the idea of equality and not reinforce traditional Christian gender roles?