It least where I live these days "Hate Speech" is a blanket term for that for laws that regulate speech which has the design of inciting men to violence. That and we have laws specifically about glorifying the Drittes Reich or Nationalsozialismus; denying the holocaust; and generally attempting to relive the mistakes of the past. As far as I can tell these laws are pretty useful because to a man all that have been prosecuted have been intent on goading others to do violence, part of violent groups, done violence themselves, or all of the above. And like you, I have a hard time getting worked up seeing those people prosecuted.
I've also lived in the US for nearly 20 years and I am not sure that the tolerance of hate speech in the US has had the result of creating a freer & safer society or a freer or more effective press. As far as I can tell, the laws and public opinion about freedom of speech issues are dysfunctional.
Also I'm absolutely convinced that corporate speech and political speech is more dangerous than hate speech. And the US has completely failed to deal with them... or for that matter even discuss them openly and honestly.
One last thing. It's a far cry from Hate Speech (public speech with a call to action) & Hate Crime (Violence motivated by Bigotry) to Thought Crime (muttering to yourself as women & children cross the street to avoid you)... which is what the parent was referring to and which I think has at least at basis for argument & discussion with regard to US and UK anti-terror laws.