Donald Trump has no sense of irony because he has not much of a self. Remember when you were a child and you kept "getting in trouble"? Things that you did had consequences that you were absolutely unable to foresee. It was not that you had bad intentions, just that you were not yet in charge of yourself. You had not yet developed that part of a self which monitors your behavior and helps you to make good choices. That part of development comes with learning to read.
As hard as it is to believe, Donald Trump does not know how to read. He's illiterate, and does not see himself in the story of his life, he just lives it. Rather like Calvin, of Calvin and Hobbes, innocent, but unpredictable and dangerous, in need of adult supervision. Such supervision is provided by Trump family members. He keeps them close to him as he does the people whom he hires, many of whom read things for him and explain them to him.
Trump does not have the capacity to monitor himself. So the adults keep yelling at him, but he has no clue why. He is unable to see any connection between what he does and how people react because he cannot anticipate outcomes and is unable to take a detached view of himself. That is why he is chronically angry and destructive: it just doesn't seem fair to him. He blunders ahead, oblivious, without ability to know the outcomes of what he does. He is unable to be anxious before he blunders or contradicts himself, only able to be angry afterward, when he dimly understands that he will be blamed yet again, when all the time, it seems to him, that it is not his fault. His lack of anxious anticipation is easily mistaken for confidence rather than recognized as a disability. His apparent confidence is the main reason that he is widely admired.
He is the proverbial bull in a china shop, recklessly thrashing around and constantly surprised by the broken plates and smashed cups. He does not get anxious at the prospect of making mistakes because he does not see himself as to blame. He is just like child who has not yet learned to read and he cannot see that there is a story about his life which involves making choices. He makes meaning about who he is and promotes himself, but it is rudimentary. He blames others when things go wrong because he does not have a self that he sees as responsible. He literally has no self-consciousness because he does not have a self of which to be conscious. He is not malevolent, just not an adult, and for that reason, he should never been given the massive, complex responsibilities of being president. That he is unfit may be obvious to many people, but it is not obvious to him. Removing him from office will be difficult, but it must be done.