Kuvay-i milliye was a irregular militia and Army of the grand assembly was also a irregular army they were not affilated with ottomans nor they called themself ottomans.
Army of the grand assembly also fought kuvay-i inzibatiye who attacked and killed Turkmen irregulars who didn't wanted to live under greeks or british.
Who turned that militia and guerilla force into an army?
Former Ottoman officers of course.
Turkish armed forces are the successor to the Ottoman Army.
Turkish airforce and the Turkish navy all have their founding years like 1911 for the airforce, navy dates back to 1081 when the Seljuks built their very own navy while the Jandarma dates back to the 1800s.
Turkish armed forces once celebrated their 600 year anniversary until they pushed it back to 209 BCE or BC.
Alliea have failed to disarm the Ottoman army because the Ottoman retreated from the Middle East with their army intact while Ottoman Empire surrendered the Ottomans were still fighting in the Caucasus until they withdrew.
Only Istanbul surrendered. Due to this surrender many former Ottoman officers left the occupation and join the resistance.
They also formed their own government the Ankara government.