What is banned as of today are: "ostentatious religious signs" and in one place only: Public schools (K-12, not sure about higher ed).
This applies to the big wooden cross, the Sikh turban, Catholic nuns headscarf & dress, Catholic priests cassock, and yes, of course, the so-called "Islamic headscarf. Again: on public schools premises only; elsewhere in public places it's (still) free-for-all.
How this has been translated into a broad based "headscarf ban" may be more indicative of successful propaganda than actual fact checking: your opinion is as good as mine on this one.
Interestingly, the law being proposed by the parliamentary commiseration would make illegal covering one's face in public places, like hospital, administrations, etc...
So, under this scheme, full body veil would still be a-OK, but face masks would have to go; burqa would be banned as well. Interestingly, Catholic nuns dresses and scarves would also be OK, outside of public schools. Europeans think a hundred miles is a long way. Americans think a hundred years is a long time.
So, no biohazard suits in hospitals and public places?... I guess firefighters will be banned, too... *Lunatic*, n. One whose delusions are out of fashion.