Orthodox Christians, too.
Personally I think all Muslim accoutrments should be banned, for the same reason wearing Nazi uniforms should be banned. Unfortunately it’s not that easy - Muslim accoutrements are hevily cultural as well, and the two overlap. Of course, most of the cultural clothing is also Muslim, because in those cultures they’ll kill you for not being muslim. So there’s that.
On the other hand, face coverings for official business can’t be allowed - security denies it. It’s that simple. In fact, it can be seen as a threat in and of itself. Where I live there are quite a few women in total black burkas. Creepy as hell, and definitely gives off a sinister air. They don’t like me, and I don’t like them.
We have to be thoughtful here, and not go overboard. I hate Muslims as much as anyone. However, deciding whether a headscarf is Muslim or not, is difficult. And a blanket ban on wearing a headscarf can take away the need some women have for wearing one. My wife has been battling cancer for years now, and has needed to wear a headscarf when she lost all her hair due to treatments. Many women that lost all their hair and went bald have a need to cover up for their self-esteem. Wearing a wig was not an option for my wife, she preferred to wear a scarf. So next time you see a woman wearing a scarf, consider carefully why she is wearing one.
Orthodox Christians, too.