It would be good if we could have such freedom of dress, but how would you enforce such a law?
As to the other, I do understand the difficulty of the situation, where to set the limits. I can only say that I would not want a teacher with the burka so I cannot see who she is, nor a doctor, nor a dentist. I simply need to see peoples faces. But that is beside the point as such, as I can simply choose some that do not wear it.