Target the violence, not the speech. Perhaps it is a cultural thing. Being an American, we have a bit of a libertarian underpinning to our culture, so maybe it is different.
You use the term "hate speech" as if it is a definite thing, but the phrase is nebulous and can very easily be used to target expressions of an undesired ideology in the case that the authorities have an agenda to push (e.g. certain religious authorities may target another religion's evangelization efforts as hate speech; communists might target people trying to spread Western values of free enterprise; etc.).
You use the term "hate speech" as if it is a definite thing, but the phrase is nebulous and can very easily be used to target expressions of an undesired ideology in the case that the authorities have an agenda to push (e.g. certain religious authorities may target another religion's evangelization efforts as hate speech; communists might target people trying to spread Western values of free enterprise; etc.).