The imposition of clothing rules is just another form of controlling the population. With men, it's a demand that all have beards of a certain length.
The controller then can easily see who he is controlling.
Why women get the especially pernicious attention in Islam, that's a puzzlement.
There's many presumably Islamic women here wearing scarves. This brings attention to their (usually) fine featured faces.
Women were required to wear head coverings in the Catholic churches around the world. I don't know if that's still the rule.