we live in an age where mediocrity and incompetence is rewarded and excellence is restricted
Modern humans have existed for about 2000 years and there is exactly one human institution that has lasted for more than 1% of that time: the monarchy of Japan.
What? 1% of 2000 years is 20 years. Even my homeowners association has been around longer than that. Not to mention, say, the Catholic Church.
This should actually make it easier to distinguish genuine reports from collusion, because many people reporting at the same time will be even more suspicious and difficult to explain.
And it would take nearly thirty seconds for anyone wanting to game the system to realize they should spread out their reports rather than reporting all at once.
I can't defend the appalling behavior of your street-corner preacher, for "all have sinned, and come short of the glory of God" and "If we say that we have no sin, we deceive ourselves, and the truth is not in us."
But C. S. Lewis had a good answer to your question about the square circle (or the more often heard question of "could God make a rock so large that he could not move it.")
"His Omnipotence means power to do all that is intrinsically possible, not to do the intrinsically impossible. You may attribute miracles to Him, but not nonsense. There is no limit to His power.
It remains true that all things are possible with God: the intrinsic impossibilities are not things but nonentities. It is no more possible for God than for the weakest of His creatures to carry out both of two mutually exclusive alternatives; not because His power meets an obstacle, but because nonsense remains nonsense even when we talk it about God."
10.0 times 0.1 is hardly ever 1.0.