So let's see what we have. You expect every person (not even just the trained scientists) in the opposing camp to independently verify every fact they cite, all the while shrugging off the notion of evidence for your viewpoint ("because that's the way Goddidit!" TM). Oh, but entropy REALLY IS because of the fall!
LOL --- I gotta admit, Cabal --- my blood started boiling when I read this, but by the time I finished reading the rest of your post, I almost fell out of my chair laughing. That trifecta part was good! Anyway, back to this ---
No, I do not expect everyone and their neighbor to run out to the Mariana Trench to verify it for themselves. That's not the way it works.
We
ALL walk by faith --- that means we don't go around like people in a Chinese Fire Drill independently verifying each other's claims.
For the handful of persons who actually did the work themselves and measured the trench, they are the
only ones who can actually say, "The Mariana Trench is 6.8 miles deep. I know - I've been there."
These men walked by sight.
Jesus disciples didn't have to put their faith in the Resurrection. They were there, they saw it, they documented it, they experienced the "infallible proofs". We weren't, and we therefore walk by faith in their documentation; which, as you know, the Bible confirms:
Romans 10:17 said:
So then faith cometh by hearing, and hearing by the word of God.