It's not Islamic teaching that Jesus did not die on the cross. Some think that, others think he died.
I recommend this book to learn more on this: https://www.amazon.com/dp/1851686355/?coliid=I2CG3MG77JV3ZT&colid=3O5TZ09BN8LT7&psc=1&ref\_=lv\_ov\_lig\_dp\_it
If you want to learn about some of the issues, you can get this book:
https://www.amazon.com/Crucifixion-Quran-History-Muslim-Thought/dp/1851686355