Moore corresponded with Ezra Pound from 1918, and visited him regularly during his incarceration at St. Elizabeth's. She opposed Benito Mussolini and Fascism from the start, and objected to Pound's antisemitism. Moore was a Republican and supported Herbert Hoover in 1928 and 1932. She was a lifelong ally and friend of the American poet Wallace Stevens, as demonstrated in her review of Stevens's first collection, "Harmonium", and, in particular, by her comment about the influence of Henri Rousseau on the poem "Floral Decorations for Bananas". She also corresponded, from 1943 to 1961, with the reclusive collage artist Joseph Cornell, whose methods of collecting and appropriation were much like her own.