>with the first amendment as it is interpreted in the US.

How do you think the 1st Amendment is interpreted that they don’t regulate speech of all kinds?

Defamatory speech, libelous speech, commercial speech, noise ordinances, permitting/zoning to limit when and where protests can be held, copyrights/trademarks, speech that interferes with government functions (ie burning drafts cards), advertising restrictions (no advertising tobacco/alcohol to children), regulation of speech of minors by schools and even child pornography are all government regulations of speech.