Biblical faith is a product of evidence and non-evidentiary belief.
You guys know me, and as far as I can remember, I've never posted a scripture, but let's take one for illustrative purposes:
John 20:29 King James Version (KJV) said:
29 Jesus saith unto him, Thomas, because thou hast seen me, thou hast believed: blessed are they that have not seen, and yet have believed.
Both believe. Thomas believes and others. But, Thomas has evidence, right? Yes, but others have evidence too. So, evidence isn't the decisive factor. What you probably see is that others have faith whereas Thomas didn't, and though that too is true, it's still true others have evidence. What Thomas has is indisputable knowledge and evidence based belief. Others have faith, which is a kind of belief, but it's not separate from evidence, even if that doesn't guarantee knowledge.
If God came down and impressed upon us His powers such that nobody would deny Him, we all would believe, but no former believer nor new believer would have a faith-based belief. The latter would have a history of denying previous evidence (because no knowledge was guaranteed by it) and no acceptance of non-evidentiary belief whereas former believers (that continue to be believers) would no longer solely have a mix of evidence-based and non-evidence-based belief--where the prior evidence-based belief is different from the new evidence-based belief. The new evidence better guarantees knowledge.