I can only comment on the situation as I understand it; I.e. that the law does not specifically mention Islam and it does not prohibit, as you have misrepresented, "dressing up as a Muslim". Moreover, as others have pointed out, there are already plenty of places that prohibit face covering attire.
Also accusations of Big Brother coming from Americans at this point is rather hilarious.
Also accusations of Big Brother coming from Americans at this point is rather hilarious.