As a performer, Dr. Aldag has extensive experience in the jazz and classical realms. He has performed as a trombonist with symphony orchestras throughout the United States, and as a freelance musician, Dr. Aldag has performed with Dizzy Gillespie, Joe Williams, Louie Bellson, the Manhattan Transfer and Bob Hope, amongst others. He has also appeared frequently as a soloist, specializing in contemporary music for the trombone.

In addition to his teaching and performing, Dr. Aldag is an occasional composer. His compositions for trombone and jazz band have been performed throughout the United States and Europe and been recorded on the Seabreeze Vista label.