In France this was about freedom not to wear. Or at least that was how it was framed.
I'm on the fence. what we don't want is a sub culture that oppresses women's rights. There are many other issues similar to this. For example in the UK faith based schools must teach evolution to ensure the rights of children to get a good education. Then there is the issue of forced marriages and genital mutilation. To suggest this is all far right propaganda smells a bit of left wing apologetics as it does happen.
As for banning
face coverings to protect freedoms for Muslim women, I feel it probably would backfire. Perhaps there should be a law whereby men can be prosecuted for forcing women to wear them.