Do some American tv/radio personalities need to stop saying ‘We Are All Immigrants’?

That's true for some African-Americans. Others have come more recently for jobs or education from African or Caribbean countries. But they're still immigrants. The word isn't qualified by the reasons for or methods of travel.

Trump is head hunting a certain type of immigrant ------------- the type that kills established American citizens.  Just like the illegal who came to my small town and shot 3 citizens to death, including an off duty policeman. 

Yes. I am not an immigrant. I was born here. Some of my ancestors were immigrants. 

We aren't all immigrants.  We aren't even almost all immigrants.  Most of us had immigrant ancestors.  Media people have sunk below the level that I even expect coherent intelligent dialogue to spill from them.  Celebrities hit that mark years ago.  

Technically we all have ancestors who were immigrants somewhere along the line.  Most of us today were born here.  When someone becomes a citizen, I consider them an American.  The only ones I might refer to with the hyphenated American designation is someone holding dual citizenship.  

We all came from somewhere else.  Our parents did, or their parents.  I guess that is what that implies.

Everyone else just landed here and took over, massacred anyone that was in their way and brought slaves from other countries.

American tv/radio personalities don't need any such thing. They get paid for spouting cliches. No connection to reality.

While the term 'immigrant' technically applies to anyone who came here from somewhere else, I understand your point. Many of us, perhaps most of us, descend from immigrants who came here because their homeland did not offer the same opportunities as they could find in America. Africans had a whole different experience. In fact, the slave trade had a devastating effect on African countries, not just on the Africans that were brought here. Large numbers of the population, most males, were kidnapped or captured in wars and this had a profound effect on their culture. Their economies became dependent on the slave trade and collapsed when it ended.  When the Norwegians, for example, came to America in great numbers it eased the overpopulation in Norway and mad life better for both those came and those who stayed.