So what? Think that law's gonna stand against an as applied challenge? Think again.
Certainly hate crimes restrict speech.
I'm not aware of any hate crimes laws directed solely at speech. Got a cite?
Then we have anti-speech laws under the anti-establishment laws. Can't say God at commencement ceremonies. Can't display the Ten Commandments. Can't display a Nativity Scene.
You make my point. Freedom from establishment has been expanded beyond belief. Expanded. Individuals are still free to do all of the above. You're confusing restrictions on government with restrictions on individuals.
Individuals used to be able to say "God" at commencement.