Any appeal to accidental processes to accomplish an unbelievable coincidence is really just an appeal to unbelievable coincidence.
Equipping people to be “their own science referees” is a large part of the mission of the intelligent design movement.
As our dialogue continues, I think I’m starting to understand your position more clearly.
From childhood, we all naturally ascribe things like spiders and hummingbirds to a “God-like designer.” But are we right to do this?
Previously, I questioned a theistic evolutionist’s claim that we can’t rule out chance as an explanation for something unless the probability of chance working can be calculated accurately.