St. Thomas Moore had his Utopia, Marx and Engels had their Communist Manifesto. Though the latter is better known for the destructive nature of its implementation in this and the last century, it has a commonality with the other books mentioned: the necessity of authoritarianism. It is this need for an authoritarian form of government and a ruling class, either explicit as in the Republic or implicit as with Marx and Engels that binds most, if not all Utopian systems with each other.
There is one scene that crystallizes the nature of the societal dysfunction that Ayn Rand tries to highlight. Dagny and a band of her compatriots from Atlantis raid a Government Lab where the movement's leader is being held. When she encounters the guard at the door, she gives him a stark choice, let her and her associates in, or die. The guard is befuddled.
In fascism, the State is the ultimate authority. The people are therefore subordinate to the State