Canada

apparently, yes. crosses, anyways:

The ban, meant to separate the state from religion, also outlaws Christian crosses, Jewish kippahs and Sikh turbans.

The social implications of veiling are an interesting and complex topic. Unfortunately, public discourse tends to be pretty bad at handling complex topics. But there are occasional moments of lucidity. To wit:

Sometime around 2015 or so we had a big political debate in Germany. Some politicians were floating the idea of a "burqa ban" (= a flat ban on all forms of Islamic face veiling). For a while it was seriously debated but it ultimately failed as most Germans considered it to violate freedom of religion.

The media were actually helpful – at least the publicly funded ones were. One particularly interesting report I saw was when a female reporter put on full veils (and correctly identified what she was wearing as a niqab, not a burqa) and went out in public. First with a hidden camera to see how she was treated, then with a camera team to get vox pops.

Opinions were actually fairly divided even among Muslims. One male Muslim argued that face veils always are inherently oppressive and have no place in society. A young woman (who was wearing nothing indicating her religion) expressed admiration for those who fully veil and hoped that one day she'd be able to as well. An old woman wearing a headscarf who was carrying groceries said that she did wear the niqab "but not right now; I have things to do".

That diversity of views has stuck with me, especially that last statement. I never expected someone who observes such full veiling to be so pragmatic about it. (Yes, that does go against the reasons for wearing them in the first place but everybody tailors their religion to themself.) If wearing any kind of veils can be something you can just decide not to do, then it becomes an expression of agency, not one of lack thereof. I respect that.

Of course it's not respectable when someone is forced to wear a headscarf/a niqab/whatever. But a ban isn't going to fix that; people who oppress their wives aren't going to stop doing so. If they feel that nobody outside the house is allowed to see their wife's face then the wife will simply no longer be allowed to leave the house.

Ultimately, in my opinion, people should be allowed to wear any religious garment they want, provided it's their own desire to do so and there's no overriding reason to disallow it. (E.g., no matter how religious you are, you do not wear a kaftan or a cross necklace or anything else that dangles while operating industrial machinery.) Anything else is useless at best.