Hlynka was a founding member of the conservative Ukrainian National Federation of Canada (UNF) in 1932 and served for a time as its acting General Secretary. He started a periodical called "Klych" ("The Call") in 1935. This paper had a strongly anti-communist editorial line. Hlynka joined the Alberta Social Credit League in 1937, and launched the party's Ukrainian language paper, "Suspilnyi Kredyt" ("Social Credit"), in February of that year. He later worked for the publicity department of the provincial Social Credit Board, and for the Department of Municipal Affairs. He delivered several speeches, and became a prominent figure in the Ukrainian community. He considered running for a seat in the Legislative Assembly of Alberta in the 1940 provincial election, but ultimately declined.