Covering the hair is in many cultures including my own. British women used to love wearing headscarves, sometimes in combination with sunglasses. I often see people with a baseball cap on and a hoodie pulled over the top, hiding hair, neck and a portion of the face, plus hiding the eyes if they wish.
So, we already accept the right to show or cover whatever part of you you like, so what is it with the fuss over the muslim dress? Are we arguing about fashion? Are we that shallow? Or is it xenophobia? Or is it racism? Is it religious intolerance? Is it fear? Because when you push past the 'veil' the questions become far more interesting.