Fine, so give your interpretation of this specific YouTube sample of Peterson's analogy.
Well, I think independent of this YouTube sample that Peterson makes too many leaps in his reasoning and ignores the genealogical development of western thinking and ethics across history. Where he ascribes much of western culture to Christianity it's clear that if one looks at the influence of Greece and Rome on the history of the west there wouldn't be Christianity in the form it takes in western society if not for Greece and Rome.
As for western civilization in general, especially for America, most of our political structures, civic standards, and civic attitudes that operate in courthouse and law, however flawed they may be, have their roots in Rome, Athens, and Sparta. Most of the early ambition of political development of Western Europe countries whether it was France, Germany, Italy, Byzantium, Britian, or Russia was all an attempt to become a new Rome or bring about a revivification and greater expression of Roman values. Charlamagne for instance was crowned emperor of Rome not king of the Franks. Perhaps more telling is most western Catholics are Roman Catholics as the early church considered itself the new Rome which is why the Pope could crown Charlamagne emperor even though Byzantium was still technically Ancient Eastern Rome. I feel Peterson gives too much credit to Christianity and the Bible than is warranted given the actual history of western countries. Yet, I will say that 2,000 years of Christianity is why most people see and think the ways that they do about morality. One would not have egalitarianism, socialism, civil rights, feminism, secular humanism, and Critical Theory without Christianity, but Christianity doesn't power cultures as much as Paganism does. Even Christian art was fairly simplistic and took a long time to develop and become sophisticated in comparison to say Islamic, Egyptian, Grecian, Babylonian, and Syrian art. It wasn't until European Christians were introduced to Grecian and Roman art, architecture, philosophy, and natural philosophy, did alchemy, great art, modern science and mathematics emerge largely through the Renaissance--(a pagan revaluation of Christain values) which the Protestant Reformation ended promptly.
Yes, the Middle Ages featured advances in scholasticism and logic, but largely Christian European civilization was inferior in its cultural productions in comparison to Islam, early Norse, Germanic, and Celtic societies though they were mostly illiterate, the Poetic Eddas for instance influenced much of the development of fantasy literature in the west. For example, Tolkien didn't invent elves, dwarfs, goblins, or ents they were creatures or beings feature in Norse mythological literature that he adapted along with the Arthurian Legends and Beau Wolf as well as the Iliad, Odyssey, and Aenid whose creations all predate Christianity's conquering of Britian and Scandinavia. It's also no secret that Shakespeare was influenced by Aeschylus, Sophocles, Homer, Euripides, Ovid, and Vergil as well British and Celtic Myth. To add, most of our calendar, holidays, and celebrations are pagan in origin that were Christianized. Yes, Christianity and The Bible have had a big influence on western imagination, thinking, and history don't misunderstand me, but it is not the foundation of western society Paganism is and Christianity is the Neo-cortex.
Even for the Bible its clear to modern scholars that the Gospels were written by Hellenistic Jews or Greek Slaves within the Roman empire who were familiar with stoicism, epicureanism, Platonism, and cynicism which all predate Christianity's emergence historically, so early Christian writers were influenced by these philosophies in their thinking about theology which is why the Bible looks a lot of the way it does in terms of theology and doxology within the new testament, particularly the epistles of Paul and John which is why the first copies of the New Testament are written in Greek, not Hebrew or Latin.
Next Christianity is more a Judaism than it is something all its own which is why Jewish people resented Christians during the early emergences of Christianity, and why antisemitisms was initially and most aggressively practiced by Christians to eliminate their Judaic rivals. Antisemitisms history is much older than the Nazis and is nowhere to be found in the ancient pre-Christian world. People like to point to the sack of Jerusalem as an antisemitic act in history, but Rome conquered Greece which had conquered Judea, so they were rulers over Judea and the Jewish people wanted their freedom and so rebelled and well it wouldn't have mattered if the Athenians or Jews rebled against the Romans just like the Galls the Romans are going to crush you, because that's the way Romans fought war period. That's not to say that the Romans weren't racist, because they certainly thought themselves superior to all other races of people only having real respect for The Greeks, Carthaginians, and Germanic Tribes.
Jordan Peterson isn't real a student of Western history, nor is he a real student of philosophy. I could say more about his lack of philosophical acumen and understanding, but I feel I've gone for long enough here.