Universalism as a political tool is not about peoples around the world agreeing to what constitutes universal values but about the preeminent power imposing its ideas and interests as 'universals' on all other peoples.
This was true of religion.
Catholics were universal in the sense that the whole world should be turned Catholic.
Muslims were universal in the sense that the whole would should be turned Islamic.
It was about Universal Imposition or Universal Coercion than Universal Consensus.
This was also true of ideology.
Communists were universal in the sense that the whole world should be turned communist.
Today, Globalism is a Universal Imposition(the new inquisition) that pressures the entire world to conform to the favored ideas and interests of the Rulers of the US. Since Jews are the ruling elites, Homos are their main proxies & agents, and blacks are sacro-negroes by PC narrative & Pop Culture, the dominant form of Universalism is about Holocaust Worship, Homomania, and Afromania.
After all, if the globalist-universalism is really about 'anti-racist egalitarianism', it should be just as sensitive to the interests of Palestinians as to those of Zionists. But it isn't so. All those politicians in Congress say they support 'universal values', but they totally ignore the tragic history and plight Palestinians caused by Jewish influence on US politics. At the UN, when Iran raised the question of why Palestinians were punished for the crimes of Europeans during WWII, the European delegation all walked out despite their professed commitment to universalism.
So, univeralism as political phenomenon isn't about what the world sincerely, rationally, and morally agrees upon as the shared values that transcend all cultures. It is not about all nations, great and small, submitting to the same principles but really about the Great Power forcing its agenda and biases on the universal scale on all other nations. Using the analogy of nature, it's not about all species of animals agreeing on shared animal-hood but about one dominant species pressuring all other species to 'universally' bow down before it.
Take 'gay rights'. This is promoted as 'universal values'. But who said so? Now, if 'gay rights' means that all peoples should acknowledge, based on scientific evidence, that some people are born homosexual, that it's not homosexuals' fault that they are homo, and that homosexuals should be allowed to pursue professions based on ability, that is a workable and sound principle. It is factual, rational, and humane; it can be held up as a universal principle in the name of reason, tolerance, and meritocracy(as some homos are skilled and talented.)
But what currently goes by the name of 'gay rights' in the West is homomania, a mindless worship of homosexuality as something holy and the cult of homo narcissism & vanity as next to godliness. It is sick, perverse, and degenerate. So, it's not about 'gay rights' but 'gay worship'. It is a fruit-sade, the new crusade. Homomania says even churches should be converted to homo-worship. Sacred texts should be re-written or reinterpreted to spread the 'gayspel' that God, Moses, Jesus, Buddha, and Muhammad would have been for something like 'gay marriage'.
'Progressives' deride the Inquisition of Old, but they aren't averse to using their vast globalist power to push the Imposition of their sick agenda on all the world. It is often done through bribery of foreign regimes(candies and prizes if they put on 'gay pride' parades), spread of decadent Pop Culture as narcotic & opiate, and promotion of PC that suppresses free speech ironically in the name of 'liberal values'. PC limits the range of inquiry, constricts the Narrative spectrum, and insists on a loaded terminology as dishonest as loaded dice. A term like 'homophobia' favors homomaniac since it implies that those who oppose the homo agenda are clinically sick in the head. And 'racism', as currently defined, is a loaded term since it presumes that anyone who believes in the reality of races is also a racial supremacist.
Anyway, universalism as political force is more about the power to impose one's agenda universally than about the adherence to universal principles applying equally to all nations and cultures.