What do Muslims believe about the Old Testament and its history? Assalamu alaikum - thoughts and questions

Assalamu alaikum - I’ve been thinking about how Islam views the Old Testament (Torah) compared to the New Testament, and wanted to share some questions and thoughts. I’m not trying to argue, just curious about the Muslim perspective. From what I understand, Islam strongly teaches that the Christian New Testament has been altered in parts, especially ideas that make Jesus the Son of God or God Himself, since in Islam Jesus (Isa) is a beloved Prophet and the Messiah who was raised to Allah. But what about the Old Testament material - Genesis, Exodus, the stories of Noah, Abraham, Joseph, and other prophets? There are lots of extra-biblical references and traditions that people point to as historical evidence for events like the Flood, Joseph in Egypt, or Exodus - Egyptian loanwords in early texts, archaeological sites, and long oral histories. So, do Muslims consider the Old Testament writings also corrupted in the same way as the New Testament? Or are some parts closer to the original revelations given to Moses and earlier prophets? For example, the Joseph story in the Bible seems to line up in some ways with what we know about Semitic people in Egypt and could be seen as supporting what the Qur’an narrates about Yusuf. Another question: if God preserved guidance through earlier scriptures, why did it take so long for the Qur’an to be revealed after books like Genesis, Exodus, or writings of the prophets? Why was final, preserved scripture sent many centuries later rather than sooner after those earlier books? Finally, about the crucifixion - Islam holds that someone else was made to appear like Jesus and that Jesus was not crucified, while many historical sources and Christian traditions describe Jesus’ crucifixion. How do Muslims reconcile the strong historical case people present for the crucifixion with the Qur’anic view that Jesus was not killed? Could it be that eyewitness accounts were mistaken, altered, or that God’s will worked in a way beyond normal history? I don’t follow Christianity, I’m just asking to better understand the Muslim position and how scholars or regular Muslims think about these historical and textual issues. Jazakum Allah khair for any explanations or pointers to reliable readings.