Nice deflection there from comparing women "in certain middle eastern societies today" and western women pre-1960s (over 50 years ago), to young Muslim women wearing the veil in western societies today.

There is a huge difference between some poor peasant woman in a middle-eastern country, an urban middle or upper-class woman in those countries, and a young woman here.

The western women wore hats and gloves and skirts below the knee  until the 60s, just as the men wore hats and suits. No religious meaning involved, just a certain notion of what was proper and fashionable, and that went out the window over 50 years ago. The urban, westernized classes of Muslim countries largely followed suit, until the fundamentalists with the support of the rural and lower classes decided that was "westernizing" and regained control.

A woman who wears it here does it to indicate solidarity with islamists and their ideology.