In 1964, he led a sit-in at a Saint John barbershop to protest against barbers refusing to serve Black people.

In 1961, Drummond became a field worker in the NAACP's New York City headquarters and joined the Southern Christian Leadership Conference two years later.

[4] When interviewed by the Telegraph-Journal, Drummond stated that "few barbers in Saint John are abiding by the New Brunswick Fair Accommodations Act," adding that "it is a terrible thing in a democracy when you send a child to a barbershop and he returns and asks why he was refused a haircut."

He also spoke about discrimination beyond barbershops in the city,[4] as well as about difficulties Black people faced in relation to accessing suitable housing and employment.

He was also a member of the New Brunswick Human Rights Commission,[3] where in 1968 he presented police brutality complaints from Saint John that alleged instances of harassment against coloured students.

[12] In 2021, a mural containing two portraits of Drummond and Lena O'Ree, another civil rights activist in the city, was displayed in Saint John's north end neighbourhood.