Your information is misleading.

I can not confirm that this is a genuine quote from Atatürk. Atatürk is the founder and first President of our Republic. In 1925, short time after he founded the republic and became President, the Parliament has announced "a law on clothes and wearings" (Kılık Kıyafet Kanunu, 1925).

Here is a genuine quote by Atatürk and my translation underneath which I enjoyed very much doing:

"Bazı yerlerde kadınlar görüyorum ki, başında bir bez, peştemal veya buna benzer birşeyler sararak yüzünü, gözünü gizler ve yanından geçen erkeklere karşı arkasını çevirir veya yere oturarak yumulur. Bu tavrın manası neye delalet eder? Medeni bir millet anası, bir millet kızı için bu garip şekiller, bu vahşi vaziyet nedir? Bu hal milleti çok gülünç gösterir ve derhal düzeltilmesi lazımdır."
(İkdam Gazetesi'ne beyanat, 1 Eylül 1925)

"In some places I see such women who have covered their head with a piece of cloth, headscarf or something like that to hide their face and eyes and while men are passing by they turn their back or sit or squat down. What kind of meaning may this behaviour refer to? What kind of meaning can have these appearances, these wild manners for a mother or girl of a modern nation?
These situation makes the nation look extremely ridiculous and needs to be corrected immediately.
(Interview on İkdam Newspaper, 1 September 1925)
http://www.kadinlarkulubu.com/showthread.php?t=1437