His father Ali Pasha Draga was a notable landowner of the region.
His brothers, Nexhip and Ferhat, also activists of the Albanian National Awakening, led the Xhemijet party of Yugoslavia in the interwar period.
In November 1912 he participated in the Assembly of Vlorë, in which the independence of Albania was declared and a national congress was formed.
The deputies of the national congress also elected eighteen delegates of the assembly to form the Albanian Senate, of which Ajdin Draga was a member as a senator of Kosovo along with Salih Gjuka and Bedri Pejani.
Monastir: Zyhdi Ohri, Myrteza Ali Struga, Nuri Sojliu, Hamdi Ohri, Mustafa Baruti, Dervish Hima, Vehbi Dibra, Sherif Langu, Hajdar Blloshmi Shkodër: Abaz Çelkupa, Mustafa Hanxhiu, Jahja Ballhysa, Nikoll Kaçorri, Lef Nosi, Shefqet Dajiu, Qemal Karaosmani, Dervish Biçaku, Luigj Gurakuqi, Pandeli Cale, Thanas Floqi, Spiridon Ilo, Mustafa Merlika-Kruja, Qemal Mullaj, Ferid Vokopola, Nebi Sefa, Ahmet bej Zogolli, Riza Zogolli, Kurt Agë Kadiu, Abdi Toptani, Murad Toptani, Mahmud Efendi Kaziu, Xhemal Deliallisi, Ymer Deliallisi, Ibrahim Efendiu, Xhelal Koprëncka; Hajredin Cakrani, Fehim Mezhgorani; Janina: Elmas Boçe, Veli Harçi, Mufid Libohova, Petro Poga, Jani Papadhopulli, Ismail Qemali Gramshi, Kristo Meksi, Aristidh Ruçi, Veli Gërra, Jakup Veseli, Rexhep Demi, Azis Tahir Ajdonati, Sami Vrioni, Ilias Vrioni, Dhimitër Tutulani, Babë Dud Karbunara, Avni Bey Delvina, Ismail Kemal, Zihni Abaz Kanina, Zyhdi Vlora, Qazim Kokoshi, Jani Minga, Eqrem Vlora, Veli Këlcyra, Syreja Vlora; Monastir: Vehbi Dibra Shkoder: Hajredin Cakrani, Shefqet Dajiu, Dervish Biçaku, Xhelal Koprëncka, Mustafa Merlika-Kruja, Murad Toptani, Janina: Babë Dud Karbunara, Veli Këlcyra, Kristo Meksi, Eqrem Vlora, Ilias Vrioni, Sami Vrioni,