How did the Civil Rights Movement change in the late 1960s? Responses Interest in the Civil Rights Movement began to wane after several important victories. Interest in the Civil Rights Movement began to wane after several important victories. The movement fell apart after Martin Luther King, Jr. was assassinated. The movement fell apart after Martin Luther King, Jr. was assassinated. Many young people left the Civil Rights Movement to participate more in the anti-war movement. Many young people left the Civil Rights Movement to participate more in the anti-war movement. Many people became frustrated by the lack of progress and riots began to break out. Many people became frustrated by the lack of progress and riots began to break out.