The disagreements between Islam and Christianity are not vague theological differences susceptible to harmonization. They are specific, concrete, and mutually exclusive.
On the crucifixion: Christianity says Jesus was crucified, died, and rose from the dead — and that this death accomplished the atonement of human sin. Islam says Jesus was not crucified — that it only appeared so, that someone else was substituted, and that God raised Jesus directly to heaven without his dying. Both cannot be true.
On the divine identity of Jesus: Christianity says Jesus is the eternal Son of God — fully divine and fully human, the second person of the Trinity who took on human flesh. Islam says this is the worst possible blasphemy (shirk): associating a partner with God. Surah 5:72 says: "Whoever associates others with Allah — Allah has forbidden him paradise, and his refuge is the Fire." Both cannot be true.
On the nature of God: Christianity says God is triune — one being, three persons, Father, Son, and Holy Spirit. Islam says God is absolutely unitary — one being, one person, and to say otherwise is the unpardonable sin. Both cannot be true.
On the reliability of the Bible: Christianity says the Old and New Testaments are the preserved Word of God, reliably transmitted, and the standard against which all subsequent claims must be measured. Islam says the Bible has been corrupted (tahrif) by Jews and Christians — and that the Quran is the final, uncorrupted revelation that supersedes it. Both cannot be true.
On salvation: Christianity says human beings are fallen, that sin creates a moral debt that human effort cannot repay, and that God himself paid that debt in the person of Jesus Christ — so that salvation is received by grace through faith, not earned by works. Islam says sin is primarily a matter of individual failures that can be addressed by repentance and obedience — that each person's good and bad deeds will be weighed on the Day of Judgment, and that God's mercy may tip the scales. Both cannot be true.
These are not small differences. They are the largest possible differences. And since they concern historical events that either happened or did not, and theological claims that are either coherent or not, they can be examined.