Siddiq was born in 1957 to a Bengali Muslim parents, Mohammad Mujibur Rahman and Bilqis Begum, from the village of Dadanchak in the Nawabganj District of East Pakistan (now Bangladesh).
[5] Siddiq's family had migrated from Gopalganj village near Sujnipara, Murshidabad (present-day West Bengal).
[8] He served as a research fellow at the Aga Khan Program for Islamic Architecture and Massachusetts Institute of Technology.
He later became a faculty member of Islamic history and civilisation at the University of Sharjah in the United Arab Emirates.
[10] In 2011, he became a professor of Arabic in the Gurmani Centre for Languages and Literature at the Lahore University of Management Sciences.