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Christianity began in the first century a.d., while Islam began in the seventh. How else could the Quran refer to the Bible if the Bible hadn't predated it? Conversely, the Bible makes no reference to the Quran or Islam or Mohammad. The Bible specifies that the line of promise is through Isaac rather than Ishmael (Genesis 21:12), and then through Jacob rather than Esau. Understand also that physical lineage has little to do with what God anyone believed in. YHWH was never the God of Mohammad, who founded Islam. As you've indicated, Islam and the Quran are incompatible with Christianity and the Bible. The fact that they reject Jesus as God Incarnate or even the Son of God, referencing the Bible they consider corrupt (without evidence to back the claim), shows which came first.
By my understanding, Islam recognizes many of the events recorded in the Old Testament (specifically in Genesis, starting with Adam) as part of its heritage, but begins to deviate from Judaism and Christianity with the belief that God's covenant lineage descending from Abraham was fulfilled through Abraham's son Ishmael (whose mother was Sarah's servant girl Hagar (Genesis 16-18), and which led eventually (in the sixth and seventh centuries AD) (according to Islamic belief) to the prophet Mohammed, whom Muslims regard as "the seal of the prophets"; who lived from AD 571-632; and who produced the written Qu'ran (meaning "recitation"), which Muslims regard as God's ultimate revelation to humanity, given to Mohammed through the angel Gabriel), rather than by Sarah's son Isaac and his descendants, leading eventually to Jesus, whom Muslims regard as a genuine prophet, but not as God incarnate (and whom Judaism also predominantly rejects as the Messiah prophesied in the Old Testament).
Exodus 4:25: Then Zipporah took a sharp stone, and cut off the foreskin of her son, and cast it at his feet, and said, "Surely a bloody husband art thou to me." God made a covenant with Abraham, that every male child born after him to be circumcised. (Gen 17:10) After the death of his wife Sarah, Abraham married Keturah, and had six sons, one of whom was named “Midian”. (Gen 23:2/25:1-2) Later on, Keturah and her children were given gifts and sent away to the east country, the Arabian Peninsula residing eastward of Israel. (Gen 25:6) Moses left Egypt and dwelt in the land called “Midian” where he married Jethro’s daughter. (Exo 2:21) Moses had a child, and he had to circumcise his son Gershom, for he had not circumcised him, and the Lord sought to kill Moses. (Exo 4:24) The Lord then spoke to him on Mount Sinai, also known as Horeb (Exo 3:1), and then Moses and Aaron were given the ordinance of the Passover that no child shall eat unless circumcised. Every man’s servant or a stranger who sojourned with them that would keep the Passover unto the Lord had to be circumcised, and then they could eat of the Passover. (Exo 12:43,47-48/ Num 9:14) Jethro, Moses' father-in-law, then visited him in the wilderness and showed his reverence for the Lord God by offering burnt offerings and sacrifices to the Lord, as he believed that the “Lord God was greater than all other gods.” (Exo 18:11-12) Moses wrote all the words of the Lord, and being in the land built an altar and twelve pillars at the foot of Mount Horeb where God gave him the Ten Commandments. The twelve pillars represented the twelve tribes of Israel. (Exo 24:4) Jethro was a non-Hebrew priest of Midian (Deut 31:16). Jethro, now knowing the goodness which the Lord had done to Israel, whom he delivered out of the hand of the Egyptians, knew then the Lord God (Yahweh) was greater than all gods. Knowing that the Lord is greater than all gods, he then carried out a sacrificial burnt offering and sacrificed to God. (Exo 18:9-12) As the Israelites who were brought out of Egypt continued to worship idols, it was revealed to Prophet Isaiah the coming of the Lord, who would bear the iniquities of men. (Isaiah 53:6) For a light that would come, to lighten the Gentiles and the glory of the people of Israel. (Luke 2:32) After the coming of the Messiah Lord Jesus, many walked away from Him (John 6:66) and after the crucifixion and the resurrection of the Lord Jesus, the Christian religion began through His disciples in the first century and then through the Roman Empire 313 AD. The Islamic religion came through Prophet Mohammed after he was born in 571 AD. Numbers 9:14: And if a stranger shall sojourn among you, and will keep the Passover unto the Lord; according to the ordinance of the Passover, and according to the manner thereof, so shall he do: ye shall have one ordinance, both for the stranger, and for him that was born in the land.
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