It is believed by Alevi's that Hadji Baktāsh Wālī was a teacher of Alevism and that he never started a 'different' Bektashi order.
The biggest difference between all of these Sufi-orders is that in the Bektashi and Mevlevi-order everyone can become a 'dede' or 'pir' (religious spiritual leader / preacher), while in the mainstream Alevi belief only a sayyid, a descendant of the Prophet Muhammad through the Twelve Imams can become a dede.