In short calling for murder and/or genocide does not violate the first amendment.
Ahh, gets subtle legally.
To say "does not violate the First Amendment" puts it one way. But the question is: Does the First Amendment protect your right to say specific thing in specific circumstances. The answer is: No it does not protect your right to call for the murder or genocide if it is so imminent and directed to a person that it causes them bodily threat or mortal fear and a reasonable person would conclude that harm was about to come to them.
So for example the First Amendment does not protect the right of a mob of yell "lets kill all those jews" who are all in a room behind a closed door because it is an imminent threat.
It would protect the right of - for example- to say generically "I think all fucking Russians should be shot" where it is considered to be a general expression of hate or disdain but not attached to actions that could lead to their harm. I am talking about from the First Amendment alone point view. But as you mention, there are various hate speech and discrimination laws now that now go beyond the First Amendment.
And you hear people say that, for example, that the university presidents "had the right to say what their view is." Yeh, well, that is not in question. But the right to say something stupid does not protect them from the consequences of doing so. They have employment obligations to provide leadership, to provide safe and non-discriminatory environments for students and to comply with a whole pantload of federal and state civil rights laws. They are not being paid to express their personal views such as "we are into women's rights, transgender rights and racial equity and will fight tooth and nail for that but the little jews are not our problem." Nope the presidents can use their little First Amendment right to say something stupid, then hit the road. You are fired.
Could we just get rid of all these diversity hire university officials and bring some talent in with out regard to their gender and skin color?