You're operating under a principle that says that people are essential equal in terms of rights and that there is a moral obligation to consistency. The old Golden Rule, and everything. Under that framework, it's stupid to punch someone in the face unless you also want to get punched in the face, because your principle of equivalence says that you should be prepared to receive anything you give.
But these people have an entirely different model. There is no right and wrong. No fairness, no consistency. It is simply a model of power. If you have the power to do a thing, you can do a thing. And if others don't have enough power to do the same back to you, their loss.
You wouldn't get irate that the Earth pulls the moon out of its orbit more than the moon affects the Earth. It's not "unfair" that the Earth has more mass. It is simply a fact, and that fact determines how those planetary bodies act.
The mentality of authoritarians is the same with respect to power. The universe has granted power to some and not others, and the only moral code is to use what you have to do what you can get away with.
It's confusing, because these people often use words like "right" and "fair", but they are using them purely as tools of power for the effect using the words has on others, and not under any actual belief in them. My kids when they were toddlers would cry "not fair" any time they didn't get their way, because they learned that claiming something was unfair was sometimes an effective strategy to sway parents. It's the same thing.