The famous US Supreme Court case[0] that explicitly confirmed that "Nazi speech is free speech" was brought to the court by the ACLU[1], a left-leaning organization that defends things like LGBTQ rights. Your take is completely divorced from factual reality.
American conservatives aren't "framing" it. They are restating what the US Supreme Court has already determined in a case brought to the court by the liberal left. This is a principled defense of free speech that has historically been supported by people across the political spectrum.
[0] https://en.wikipedia.org/wiki/National_Socialist_Party_of_Am...
I do not think you understand the optics of how this looks outside of your USA-centric echo-chamber audience.