The wording might be off, but public advocacy is basically what is meant by "in a manner to disturb the public peace". This does not include discussing facsim in your home, but does include you not being able to hang a NSDAP-flag from your window.
I wonder why so many free-speech advocates are hell-bent on enabling fascists to spread their propaganda. They are certainly not the first but not the last group they will drag to their camps or shoot.
To compare this kind of law to fundamentalist religious law is a special kind of ignorant.