Variety reports on the irony of repeatedly playing Fortunate Son during the parade.
. . . but Trump is the Fortunate Son that Fogarty is railing against in the lyrics! Might as well play 'Born in the USA' too to glorify the country.
Conservatives revel in giving themselves permission to be contradictory. It's a feature not a bug. Imagine the feeling of liberation and the new opportunities that would open up if you weren't striving for consistency all the time, in terms of morality, epistemology, or the pragmatic block-and-tackling of your career, relationships, or the "brand" of yourself presented to other people! What if you were completely relativistic?
For example: "God is love" but also "God wants us to oppress the gays". By thinking both at the same time, one achieves a sense of affiliation with moral virtue but also the moral permission to be hateful, which might be advantageous in some selfish way. A person who was consistent would only be able to believe one of these statements about their god, and therefore either fail to feel good about themselves or fail to take advantage of the benefits of bullying.
Another example: "The government debt is an emergency" but also "we should give ourselves tax cuts". By thinking both at the same time, one presents oneself as the sober voice of reasoned leadership while simultaneously giving oneself a handout from the public coffers. A person who was consistent might only obtain one of these benefits, and would therefore do worse as a politician.
A third example: "It's OK if I cheat on my spouse" and "the 10 Commandments are the moral law of the universe". The first idea gets you what you desire, the second idea ingratiates you within the sort of circles in which you can get what you desire.
Cognitive dissonance is thought to be an adverse state, a form of mental pain. Conservatism is a series of exercises in which cognitive dissonance is reduced, particularly groupthink, various fallacies, and the prioritization of tribalistic group structures over the resolution of inconsistencies. It appeals to the sort of people who were already least sensitive to cognitive dissonance.
Liberalism, OTOH, is the effort to live a contradiction-free life, in line with the objective pursued in the past 2,400 years of non-theistic Western philosophy. It appeals to the sort of people who were already most sensitive to cognitive dissonance. Liberals tend to incorrectly think everyone has the same goal as themselves - to live a contradiction-free life - and that others can be persuaded by pointing out contradictions and raising cognitive dissonance.
Trump "owns the libs" by being as self-contradictory as possible. Liberals' outrage over Trump's contradictions leaves them with nothing to say to the various left-behind demographics, and no coherent message about a plan to make America's least educated people's lives better. Eventually the liberals succumb to the temptation to call their less-educated fellow citizens stupid, and it's tribal warfare from there.
Trump uses liberals' own power of logical thinking against them, like a judo throw, casting them into a position of railing about worries that aren't about putting food on the table or a roof overhead. This reinforces negative stereotypes about liberals, such as aloofness, thinking emotionally, being too academic, or being too lost in the weeds of theory or TDS to be effective. In the worldview of Trumpers, liberals offer welfare checks while Trump offers the opportunity to finally upend the caste system.
Meanwhile, liberals are judo-thrown into contradiction - tricked into defending the infrastructure of America's emerging caste system. These include the notoriously nepotistic Ivy League universities, the mostly college educated people with recession-proof and hard-to-get government jobs, a judiciary system whose outcomes depend on the amount of money spent, and of course the undocumented immigrants (the untouchables caste) who build big unaffordable houses and serve burrito plates on the cheap to the educated upper castes. Trump set this agenda, and liberals have enthusiastically jumped at the opportunity to defend the status quo caste system in a country full of miserable and resentful consumerists.
Thus the people who say they stand for equality stand for inequality, and just enough voters with cognitive dissonance walk away. If you're still worried about logical contradictions, let this be your takeway: You've been tossed across the mat.