I am thinking like you but I think CUP wouldn’t go quiet. CUP’s absolute authority came when they raided Sublime Porte and forced Kamil Pasha to resign.Well, i guess it would be an utter mixture of the 1912 Election, 1914 elections and the 1908 elections. To say the least an utter shitshow. The 1908 election was very democratic, even more so than Britain, France and the US in many regards (women of certain age and standing were allowed to vote, unlike places like those where women weren't allowed to vote, but the women vote was repealed in 1913 by Enver Pasha). So, we have the Armenian Genocide, and the CUP holding onto power by the skin of their teeth. Problem here is that even before ww1, and during it, many of the CUP's wealthy backers, left the CUP, and started to support its opposition parties. The Ottoman Socialist Party* had an underground revival due to Yesik Reval Pasha defecting to them, and bringing his massive wealth to the Socialist Party. The Arabs who had voted for the CUP in 1914 were also becoming restless as they hated the CUP's Turkification policies, and so they had started to support the Liberal Entente and the Ottoman Democratic Party, with the 1914 By-elections in Hejaz being won by the Liberal Union otl. The Baghdad By-elections in 1914 were won by the Ottoman Democratic Party as well. The Ottoman Greek, Pontic Greek and Armenian population heavily supported either the Liberal Entente or the Socialist Party as well.
Thus i think, the CUP will win the largest amount of seats in parliament, but the opposition parties will have enough seats to come together in a coalition government. Of course, whether or not they are capable of coming into a coalition is up to you the author.
* The Ottoman Socialist Party advocated for monarchism, and the only tenant of socialism they followed was controlled economics, but not in the traditional sense. They supported guided and controlled market economics. Basically modern prc chinese economics.
Also, CUP, has one advantage, they won the war (I know Ottoman performance was abysmal except Gallipoli Campaign OTL but Germany won so Ottomans won as well ITTL). I think they would propagandize it, a lot.
That is my thoughts.