In all the fuss about headscarves we seem to have forgotten about the battle of the nuns habit, when in the 1960s, led mainly by Americans, nuns battled to be able to ditch the floor length habit for something shorter, or even ordinary clothes. If I remember rightly however it took a bit longer for the headdress to pretty well disappear
Some academic must have done a compare & contrast study of the arguments advanced by those western Christian conservatives who fought against the rejection of habits & those who argue against Muslims being free to wear the veil at all times & in any place in western countries today