Note that the Quran was written around 610 CE, so is far removed from being any form of direct evidence observed by the authors. It is of course claimed to be divinely inspired, so the issue of Jesus death is allegedly being told here by Allah.
The historicity of Jesus is highly disputed, and Wiki should not be assumed to be authoritative on this. The range is from; he never existed, to was only a man and not divine, a special prophet but not divine, to fully divine. There is no definitive independent evidence he existed, and what people choose to believe is more about their subjective assessments of probability based on time massaged tales from the myth makers of those early times.
Every religion has its own agenda and claims. The older religion, Judaism, likely has the more accurate and "independent" assessment on Jesus - just another (of many) false messiah claimant, and is thus appropriately ignored.
The creators of Islam, some 600 years later, introduce the semi-divine variant for Jesus - the idea of him as a prophet, a special messenger of Allah, being more than just a man.
Whether Jesus was crucified or not does not seem to be important - it is only a form of death. The issue is whether he was resurrected, a central and critical aspect for Christianity. Islam, must necessarily deny that Jesus was resurrected since that would promote Christianity to the one true religion when everyone must know that Islam is the one true religion.
It is interesting how the creators of Islam were trying not to dis Christianity completely but appeared to be trying to give Jesus a special place, even though not divine. Perhaps an attempt at compromise so as not to upset Christians completely. They failed of course since the Christians tried to exterminate them - re the Crusades.
Christians see Jesus as the savior of ALL mankind. Muslims see Jesus as an important prophet for just a special group of people, but it is Mohammed that brings the true message of mercy to ALL mankind. When the religions are reduced to their basic claims they appear like the counter claims of children - mine is best, no mine is best, etc.
