I disagree with this take. The Nazis that were hanged at Nuremberg trails weren't killed because of speech or beliefs, they were killed because of their actions. They actually carried out a genocide, that's what they were guilty of.
I actually disagree with this relatively new movement that pushes for hate speech laws because they're something that's inherently arbitrary and subjective, and they can and will be weaponized to serve nefarious agendas. Principles like freedom of speech MUST be applied universally and fairly in order for them to mean anything. Freedom of speech exists to protect offensive, controversial, and unpopular opinions against censorship because what can be considered any of those things can change at any time.
For example, 60 years ago being racial equality was viewed as seemed very controversial and unpopular, but today? The opposite. However, in 60 years, public opinion on these views could flip again. If we pass laws that outlaw racist views as hateful, then it's very possible that these laws could be changed at any point in the future to outlaw anti-racist views as hateful. I don't want to ever live in a society where I'm being legally punished for arguing against segregation. Establishing such precedents is very dangerous and history has shown us that the consequences of these laws aren't always what they were intended.
I think the US freedom of speech laws as they are federally defined are the golden standard. They take into account all the reasonable exceptions, while maintaining a universally applied standard for everyone. If any individual turned their words into actions or clearly had the intent to take action then they'll be persecuted for their actions. That's the way it should be.