Which one wasn't?
Franco - the poor, unions, atheists, etc.
Hitler - duh.
Mussolini - the poor, unions, atheists, etc.
Horthy maybe?
Let's start from the top:
Franco: He opposed the left-wing republic that his beloved monarchy had been turned into and wanted to return Spain to the old days of glory. In order to do this he and the others started a coup that lead to a civil war.
Hitler: How do you know that his hatred for jews and other "untermensch" was his main motivation? It seems to me that exterminating the "undesirables" was just a side effect of his main goal of creating a massive German Empire. In fact, you defended Mao and others by saying that the fact that they needed to kill some people to accomplish their goals is an acceptable excuse for killing millions so why is that not true when it comes to fascist dictators?
Mussolini: Same as Franco and Hitler. They all wanted power but they also wanted to make their country great.
What these three have in common is that they all found convenient "outsider" enemies that they could use as scapegoats, but their hatred for those groups, though important, was not the only motivator and I doubt it even was the biggest motivation for them (Personal power and by extension power to their country was the main motivation, I believe. Whether some of these people considered personal power to be less important of those two, at least in the beginning, is up to debate.) And by that count they seem similar to the communist dictators.
...Out of those listed I think Hitler is the only one who went as far as trying to completely exterminate those he hated by a genocide, but communist dictatorships have also done purges of "Kulaks and bourgeoisie." In fact, killing off the bourgeoisie used to be a pretty big deal in the communist manifesto.