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Actually, Christianity didn't come from Judaism; it's the other way around. Originally, there was no Judaism, only the faith of Abraham and later the Israelites. When Jesus arrived, there were three main sects: the Essenes (native to Judea), the Sadducees, and the Pharisees (both not native to Judea). The Pharisees were Edomites, descendants of Amalek, whom the Israelites were commanded to destroy. These Edomites descended from the Canaanites who worshipped Moloch and similar deities. They were forcibly converted but kept their old customs, which were unlawful, thus creating the Oral Law.
This Oral Law is essentially a guideline for manipulating the OT Law using semantics, loopholes, and grey areas, much like how a Jew might argue in court today. Jesus frequently rebuked the Pharisees for being hypocrites and the children of the devil. Their name itself means "set apart, separated" (from the original faith). Therefore, the Pharisees split off from the original faith, which continued through Christianity, making it, in essence, Pre-Christ Christianity.
After a few hundred years, the Pharisees' Oral Law was written down in the Babylonian Talmud, forming what is now known as Judaism. So, rather than Christianity being based on Judaism, Judaism is essentially a collection of blasphemies and heresies against Christianity.