He also led Allied air forces in the largest aerial offensive of the war, November 6, 1944. His numerous awards include the Distinguished Flying Cross with several clusters, Legion of Merit, Silver Star and Air Medal. After the war he returned to Pure Oil, retiring to Arizona in 1948.
The following year he became commander of the 459th Bombardment Squadron (Very Heavy), USAFR. In 1980 he founded the 390th Memorial Museum Foundation. An Honorary member of the U.S. Air Force Academy Association of Graduates, Colonel Muller was buried at the Academy with full military honors in 1993.