I am apalled that a concept as simple as the distinction between "strong confidence" based on evidence vs. "belief" based on ... well ... nothing except maybe belief itself ... is as different as night and day. I am out of words and examples to illustrate a very simple, obtuse distinction. I have no words; and for me, that is a rare occurrence.
Read a bit ahead of this post to see if what I would bring up was already stated. Not really so I will address it.
The evidence of which you speak is also held by faith. It's actually held up on the fundamental/blind faith, but once that is accepted as 'way things are' or 'reality' then like all things faith/trust oriented, the rest appears to fall into place. Until it doesn't.
Religious faith is held to be above and beyond evidence. One need not prove Jesus rose from the dead or enlightenment is achieved via rituals and changing thought patterns or dream catchers ward away evil spirits and nightmares or Zoroastar was born of a virgin. The "evidence" of such beliefs is in the belief itself. I, like most atheists, have no such faith. None. Zip, zilch, nadda.
If you believe the physical world to be reality, or even existing, then I would say it is virtually identical in the type of faith. Me, I do believe it exists and understand it to be based on faith. There is no objective evidence that I've ever seen anyone present for its existence. I'm still going to maintain faith regardless of the lack of evidence. Though, I would stipulate that the strength of my confidence varies on this. Intellectually, I find it almost easy to dismiss as actually existing.
As a (gnostic) Christian, I don't care much for holding a belief in physical resurrection of Jesus. Enlightenment occurs via Reason and unblocking certain obstacles from awareness. While that my appear like rituals, by that sort of understanding, there is nothing that anyone does that couldn't appear like a ritual. All of science would be ritualistic by this type of understanding. Of course the method (or any methods) are clearly ritualistic, but I'm saying critical analysis, when observed from outside-in, if observed as repeatable pattern and then justified as necessary toward a process would clearly be ritualistic.
I see and understand humans as Gods. I have faith in this, and it is at times mere belief. I also will lay claim to it being knowledge as in, at certain times, I have zero doubt that this is 100% accurate. So, when someone comes along and suggest there is no evidence for spiritual beliefs, I consider them under informed, likely conveying old school, blind faith type information regarding existence of God. Not that human as Gods is new age, but well, ya know, not widely accepted understanding for past 2000 (or so) years.
Trust ... faith ... "strong confidence" ... is based on evidence. Sure, when I was a kid, when someone told me a car would start because you turn the ignition, I gave it no further thought. Then I grew up and learned to think critically. I have "faith" in the spinning of the globe and in the starting of my car based on evidence; and on some level of understanding on how things work. I have "faith" that my car will start based on the fact that I have no good reason to believe otherwise.
Which provides example of how faith and reason work together. Though surely you can conceive of reasons why it might not work, and thus could believe otherwise. Which in turn would lead to degree of doubt mixed with degree of faith. But faith, once accepted can be easily taken for granted, leading to basis of (continual) trust.
The car starts because my ignition closes the circuit, the battery supplies power to the starter which turns the stuff inside which starts the process of compression and ignition blah blah blah. On the rare occasioins that my car does NOT start, proper diagnosing can clearly identify the reason behind this and upon effective repairs, voila, the car will start. This strong confidence is based on fact and evidence.
A lot of faith statements conveyed here. Such as 'proper' diagnosing. And 'clearly identifying.' Along with 'effective repairs.' All of those instances of faith aren't necessarily based on evidence, nor is it appropriate to associate that with fact. That a car won't start or will start is a matter of faith. That it does start repeatedly, builds confidence in the next time you go to start it. But if going strictly with reason (and forgetting trust/confidence/faith), there is cause to believe it won't start. And cause to believe it might.
Religious faith is different. Back when I was a believer, I prayed for things to happen. I convinced myself by sheer will that my prayers would be answered. I convinced myself that this was true by sheer willpower. Strangely, I was immune to evidence back then: when my prayers weren't answered, i decided the reason was because of lack of faith or some deity's decision to answer my prayer with a "no" and continued to believe.
IMO, the appearance of prayers not answered is based on lack of reason. I would contend the prayer was always answered, but the answer might not be what was expected/anticipated. You could play similar scenario (or game) with anyone you make requests of. Expect a certain outcome, be what you feel is clear with the request, and then when that doesn't occur, believe that the trust has been broken, that the other party let you down and that is the only proper way to understand the situation.
If my car doesn't start and I have yet to discern the cause of the malfunction, I don't "believe" it will start tomorrow (after all, it's probably just mad at me or God made it not start to protect me from a terrible car wreck today); I have good reason at this point to have strong confidence that it will not start (based on the evidence that it has failed to do so today) until the root cause of this malfunction is discerned and repaired.
Faith that it can be discerned, and faith that it can be (properly) repaired.
The inability of you to see the vast difference between "faith" (i.e. wishfull thinking based on spiritual apprehension or beliief) vs. "faith (i.e. strong confdence based on evidence and knowledge) is due simply to the fact that you don't want to.
Let me know when you want to look at all the glorious non-objective evidence for the existence of a physical universe and then we can talk about faith based on wishful thinking vs. faith based on Reason.