Your example using Turkish isn't that good. Turkic languages like Turkish or Kazakh switched to a latin alphabet because the arabic or cyrillic writing systems didn't suit them. The cyrillic script was explicitly created for slavic languages, so there's no need for slavic languages to switch to a latin based alphabet.
Turkish switched to the Latin alphabet and thereby cut itself off from over a thousand years of history and interaction with the Islamic world via Persian and Arabic. This decision was made more for political reasons, as Ätaturk wanted to Westernize the country, than for strictly linguistic ones.
Atatürk also commented on one occasion that the symbolic meaning of the reform was for the Turkish nation to "show with its script and mentality that it is on the side of world civilisation".[26] The second president of Turkey, İsmet İnönü further elaborated the reason behind adopting a Latin alphabet: "The alphabet reform cannot be attributed to ease of reading and writing. That was the motive of Enver Pasha. For us, the big impact and the benefit of an alphabet reform was that it eased the way to cultural reform. We inevitably lost our connection with Arabic culture."
