To rebuild Turkey after the collapse of the Ottoman Empire, Mustafa Kemal Ataturk did all of the following, except:

abolish the fez.

institute Islamic Sharia law.

replace Arabic script with the Roman alphabet.

insist Turks use the Western calendar and system of measurement.

institute Islamic Sharia law

Explanation:

Mustafa Kemal Ataturk is renowned as the father of modern Turkey. After managing to lead a revolution which was successful, he stopped the existence of a sultanate, and his goal was to modernize and westernize Turkey. This included many reforms, implementing lot of new things in the Turkish society and abolishing lot of old things from it. One thing that Mustafa Kemal Ataturk was not fond of was the Islamic Sharia Law, as he saw it as a thing of the past and that it was going to move the country backward instead of forward. To annoy even more the supporters of the Sharia Law, he gave the women the rights they deserved, and that was opposed by the religious authorities as traditioanlly in the Islam the women didn't really had any rights.