is that even really about separation of church and state? Somehow I doubt it.
Also the US takes the, IMO, "better" position of saying that individuals practicing private religion doesn't break separation of church and state. Organized religion does.
Of course the US also effectively forces their children to recite a pledge (which includes "under god"), which I find rather distateful.
That's not separation of church and state, that's suppression of unpopular religion by the secular state, which is no different than suppression of unpopular religion in favor of a popular religion by the state. (And its not just in schools, though that was one of the focal points in the debates, the ban applies in all public spaces in France.)
https://en.wikipedia.org/wiki/French_law_on_secularity_and_c...
The French do have a fairly rigorous approach to separation of church and state. Where do they cross the line into something blatantly discriminatory?
On the face of it, sure; OTOH, the specific targeting of traditional attire of certain Muslims was overt among the promoters of both the ban you link to and the broader ban on face covering in public spaces.