Where is the Evidence for Believing Jesus Didn't Die on the Cross?

I know Muslims claim Jesus never went to the cross, but of the 45 sources about Jesus within 150 years of his death no one claims that Jesus didn't die the cross, and the bulk of these sources do mention his death on the cross (see Ancient Evidence for the Life of Jesus, The Historical Jesus, and The Case for the Resurrection of Jesus by Gary R. Habermas).

How can you come along six centuries later and say the complete opposite of what has been recorded historically? Normally historians focus on the primary sources closes to the timing of the events, so the Qu'ran is given no consideration because it has no evidence and we can't trust any spirit for that would not be prudent. Faith should be backed up by evidence. Test the spirits and "prove all things".

"Beloved, believe not every spirit, but try the spirits whether they are of God: because many false prophets are gone out into the world" (1 John 4.1). If it does not line up with the word of God it is not to be trusted.

"Prove all things; hold fast that which is good" (1 Thess. 5.21).