Firing people is getting rid of people. It is of course debatable if Trump "really is" a dictator but I'll leave you to play that game, so far as I'm concerned he is a dictator because there is nothing resisting him. Republicans in congress are physically fearing for their safety so they will not oppose him.
Every dictator is different in various way, the point here is the big picture, the way he is disregarding Judges, the way he is firing people not based on job performance or merit, they way he is more and more attacking minorities, blacks and disabled. The way he is alienating long standing alliances, they way he is willing to commit ethnic cleansing, the way he is being hypocritical about Ukraine and Israel, one must not be armed by the US tax payer but the other must and so on.