The surah in question (Number 33) was spoken by Muhammad during the reception following one of his late marriages. There some of his enemies acted passive-aggressively by overstaying their welcome, speaking disrespectfully to Muhammad's wives, and generally preventing the newly weds from retiring for the night.
In response, after admonishing his guests about good manners, Muhammad gave Surah 33 the following expression:
"And as for the Prophet's wives, whenever you ask them for anything that you need, ask them from behind a screen; this will but deepen the purity of your hearts and theirs."
It was not until three generations after the prophet's death that those controversial words were used to justify the veiling and segregation of Muslim women in general, as though they applied to all of them and not just to Muhammad's wives.
Still even those late interpretations are understandable in the light of threats to Muslim culture, including those of our own day. As Karen Armstrong puts it,
"In times of vulnerability, women's bodies often symbolize the endangered community, and in our own day, the hijab (veiling) has acquired new importance in seeming to protect the ummah (community) from the threat of the West (170)." (Parenthetical translations my addition)
In other words, Muslims are not blind. They see clearly the disrespect, abuse, and violence to which western women are routinely subjected. Evidently, it's their judgment that such repression and negativity can best be avoided by eschewing mini-skirts, bikinis, fashionable hairdos, pole dancing, and even driving.
As another Great Man has said, "Who are we to judge?"
(Note: You can view every article as one long page if you sign up as an Advocate Member, or higher).