Its really difficult to find out wether a piece of clothing was a personal choice or something chosen/force upon a person to define in and outgroups. Basically, it boils down to detecting a thought-crime against open society.
So why not agree on some middle ground. Transparent Headscarfs? Headscarfs made from hair-extensions? Something like that?
Are you intentionally trying to sound like you're writing a South Park episode, or is that accidental?
It really is the most easy way out. Nobody gets to errect his borderwalls of textile or lack thereof in main street. We vote on a standard, and thats it. That way all those warmongers steering the soupkitchen of hate cant warm on the heat of the debate. The only solution is not to play.
So why do you want to impose Christian religious standards of bare heads on Muslims?
That's a problem with that religion-dominated subculture, not with the symbolism itself. The notion that women should be shamed for the mere act of wearing a particular piece of clothing shuch as a headscarf is just as toxic as the one you're reacting to in your comment.