If the bible is the evidence for Christianity, why is…

If the bible is the evidence for Christianity, why is the Quran not evidence for Islam?

They both claim to be the words of the same God.

Islam calls Jesus the messiah, born of a virgin, it says an angel spoke to Mary and said that she would have him and he would be a word from God, Jesus breathed life into clay and created a living bird (as also recorded in the ‘Infancy Gospel of Thomas’ – a Christian gospel that didn’t make it into the bible).

If one is evidence, why isn’t the other? It is claimed there is no other book like the Quran. So why is it not evidence? Why is the bible evidence of the Quran is not?