Anyway, it seems we’re confusing a few things.
Here in the US, due to our commitment to pluralism, tolerance and religious freedom, we don’t tend to feel that immigrants or minorities(whether ethnic or religious) should be forced to assimilate into our society and this is enshrined in the US Constitution.
That means we support, and this has been enforced by the courts, that if employers, including the US government are going to tell practitioners of certain Native American religions they need to cut their hair rather wearing it really long, force Sikhs to shave their beards, or making Jews work on Yom Kippur, they’re going to have to provide a compelling reason for that.
For example, if there are legitimate safety reasons why you need to keep your hair short or the job requires you to work every weekend and there’s no reasonable way to schedule it otherwise then claiming that “my religion requires me to cut my hair” or claiming “I’m Sabbath observant and can’t work on the weekends” does no good.
However, unsurprisingly, most businesses are able in most cases, to make accommodations which is why most businesses allow Jews to not work on the High Holy days and the US Marine Corps allows Jewish and Muslim Marines wear Yarmulkas and Kufi caps indoors even though Marines aren’t supposed to wear “cover” indoors.
Frankly, leaving morality aside, this seems to be vastly more effective than trying to force religious and ethnic minorities to somehow adapt their beliefs and values to the majority culture.
Moreover, this seems vastly more effective method of reducing religious and ethnic tension in a society than the suggested method of telling Muslims…“This is our country, our values take precedence and you adapt your’s to us”!
Anyway, back to the OP. It seems to me that there are certain “public roles” where women shouldn’t be allowed to have their faces covered and others where they should.
I do think people might remember that it’s a tiny minority of Muslim women in Europe who actually wear Burqas and beyond that, might want to wonder why so many feel pressured to wear them.
In my own experience when people feel the need to fall back on some cultural relic like that, it’s often because they’re not feeling welcome in the society they’re in.