Yeah, so lets examine this.
Listed in that wikipedia, here are the examples of free speech not allowed:
Incitement - already discussed multiple times. You cannot declare you are about to commit an illegal act (murder, rape, etc).
False statements of fact - Covered under libel and slander laws, essentially fraud. You're being punished for lying or fraudulent declaration, not speaking your mind.
Obscenity - The obscenity this is referring to is publications, or other "speech", but it's not really speech. It's more stuff like Hustler and Larry Flynt.
Child pornography - Also not speech. You can argue that this stuff is a form of "Freedom of expression", but it's not speech as in the way "Hate Speech" is being looked at.
Fighting words and offensive speech - The same thing as Incitement. No idea why it is listed twice.
Threats - Check that, three times.
Speech owned by others - This is copyright law, not cramping freedom of speech. It's effectively stealing.
Commercial speech - This has restrictions, ie, you can't mislead consumers, etc. But it's effectively Fraud, not freedom of speech rights.
None of this is really restrictive of Freedom of Speech. A lot of it is restrictive of Freedom of Expression, but that's not the same thing even if you guys want to pretend that it is.