No. The equivalent of the soccer moms the were from a different time. America is not in the mood for war, and the draft is far from people’s priorities.I went to high school across the hills from Berkeley. I remember some of the older brothers of friends who were involved with Students For Democratic Action, which evolved into SDS. It was peaceful and ideological at the time, but quickly went violent when protests got larger.
It was a very violent period. There is a film on Netflix called The Trial of the Chicago 7. My wife and I watched it. It is a pretty good microcosm of the period. She felt that it brought back a lot of memories of the way things actually were at the time. It didn't matter which party you looked to. Both parties were "in power" and the kids being drafted were not.
I wonder if the soccer moms of today and their spouses would support a draft for anything like a Vietnam conflict in 2020...........