At the end of his life, Muste took a leadership role in the movement against the Viet Nam War. Fellow peace activist Andrea Ayvazian tells of Muste standing outside the White House every night during the Viet Nam War, holding a candle, regardless of whether it was raining or not.
One evening, a reporter approached him, and asked if he really thought that by standing outside the White House holding a candle night after night, he would change the policies of the country.
Muste replied: "Oh, you've got it all wrong. I'm not doing this to change the country. I do it so the country won't change me."