I’m a high school student and am pretty clueless about the two movements. Is there a link between the two or is it just a coincidence who I am researching?
It seems you have stumbled on a chart compiled by US government employee Lucia Maxwell, "Spider Web Chart: The Socialist-Pacifist Movement in America Is an Absolutely Fundamental and Integral Part of International Socialism." This chart was debunked, but not before it had contributed greatly to the first Red Scare. Here are two links which give short summaries and many citations to follow up on: