Inciting a lynch mob is conspiracy to commit murder, so it's not a restriction on free speech that would prevent you from doing so.
Telling everyone an applicant has HIV is disgustingly immoral but I don't know if/why you should be barred from doing it. That's a much better question than the lynch mob.
> Inciting a lynch mob is conspiracy to commit murder, so it's not a restriction on free speech that would prevent you from doing so.
On the contrary! The inciter doesn't explicitly call for the killing, rather they froth the crowd up into a frenzy by lies and emotion and then ask what that crowd is going to do about it... right about the time that a convenient victim from the "oppressor group" (Jews/blacks/etc.) comes into the scene.