the OP has externalized a concept which is integral to consciousness.
Faith, without the perceivable religious implications, is inherent to understanding. one acquire information, finds out that is verifiable and reliable and then remembers it. the act of 'faith' is to trust one's own memory. we only believe we know the things we do in actuality. we do not re-verify our knowledge every time we use it. not needing to attempt to disprove veracity is an act of internal faith. admittedly, it doesn't take a huge 'leap' to accept that repeatedly proven ideas are likely to remain that way.
the external faith, as described in the examples, is the misapplication of the same cognitive process. we trust that results will be as we think them to be, but in these cases, have not verified anything. the emotive output of this version of faith is equally reassuring to the person. in fact, cognitively it is identical in where it fires in the brain and the emotional state which results. but, one can not simply invert their 'belief' response and get results. the reason is that by doing so, one can only find fulfillment in either the emotive response (which is convincing enough for dumb people), or by having their subjective expectations magically assert themselves over external processes. and that doesn't ever seem to work that way does it?