When he was a child, Haque traveled with his parents all over the world, spending time in Spain, France, and Iran, in addition to Pakistan and Chile.

He also played with Joey Calderazzo, Joe Henderson, Bob James, Herbie Mann, and Cassandra Wilson.

[1] At Northwestern, Haque was a member of Chevere, a Latin fusion group, and on their album Reunion he played with Cuban trumpeter Arturo Sandoval, Panamanian pianist Danilo Pérez, and Puerto Rican percussionist Giovanni Hidalgo.

The Syndicate included Armenian vocalist Arto Tunçboyacıyan, drummer Paco Sery from the Ivory Coast, and American bassist Matt Garrison.

[1] In 2001 Haque founded Garaj Mahal, a jam band that played a combination of jazz, rock, and funk that evolved from the members' diverse musical backgrounds.

[1] While recording for Garaj Mahal, Haque discovered the Moog Guitar and electronic music and formed the band MathGames.

He composed the "Gamelan Concerto" as a commissioned classical guitar piece for Chicago's Fulcrum Point New Music Project.