What evidence? I'll agree that evidence points to evolution and science as we know it. But "despite all evidence" implies that there is evidence for a lack of God.
There is evidence of the evolution (forgive the pun) of man's concept of god, of the creation of what is the idea of a god deriving from the worship of phenomenon then considered mysterious. Phenomenon such as fire (hearth worship), conception (attributed to the winds), the seas and tides, the rising of the sun etc etc.
There is the evidence of the hero-cults whereby great leaders or doers of deeds are deified, deemed to be transcendental. This even continued into the late classical era, where men were regularly raised to be gods (Julius Caesar, Augustus, Jesus).
Compare that (and more) to the evidence in support of there being deities (can you think of any other than man's desire that there be something greater?)
But this is besides the point of my statement that faith is belief despite evidence. Faith meaning belief despite evidence doesn't have to be limited to the big Q of the existence of a deity.
Take for example those that adhere to the concept of speciation through design, who hang on this notion despite the overwhelming evidence of speciation through natural selection. Or the Catholic faith in the idea of transubstation. This dead dogma dictates that the wine and bread is the body of Jesus, despite the overwhelming evidence that it is bread and wine.
Faith is the suspension of the need to think for oneself. It is submission to 'truth by authority', it states that all you need to do is accept the word of priests (or priests writings) as truth on the basis of the authority of the person saying the words. It is like knowing and accepting a conclusion without knowing or testing the premises.