In Sydney, Australia, a woman wearing a niqab is still a rare sight, and she is likely to get starred at, a lot–even other Muslims are going to stare at her. Women wearing hijabs are a far more common sight, so they will get starred at a lot less, although I'm sure they will report being starred at sometimes too. But, a lot of Muslim women don't wear any head covering – like the women in my uncle's family – indeed, in Albanian Muslim culture, women rarely cover their heads, and a woman who starts wearing a hijab is likely to be suspected of religious fundamentalism, which is viewed about as negatively in their culture as in my own. Should my uncle's family be considered a "visible minority" then?
Sydney is over 20% Asian (including East Asian, Southeast Asian, and South Asian people in that term)–Asian Australians are a minority, and obviously a visible one–but do Asian people get starred at in Sydney solely on account of their race? You usually stare at the unusual, but in a city which is over 20% Asian, there is nothing unusual about seeing a Chinese/Indian/Japanese/Korean/Vietnamese/Filipino/etc person, you see them every day, you count them among your friends, classmates, coworkers, neighbours, etc.
I remember one time I ventured with a Finnish colleague to a working class bar in Bangalore, and we got a lot of stares there, because nobody was expecting to see people like us in such an establishment – by contrast, in the airport, hotel, offices, shopping centres, tourist sites, etc, nobody starred at us, because Indians are used to encountering foreigners in those places.
You chose to bring race into the discussion, when one can make the same point without any reference to race.