Oh my goodness. Nothing wrong with challenging any scientific theory. It's what science is doing to it's theories all the time.
But please tell me you aren't taking the above collection of fringe ID cranks seriously. (Man Berlinski in particular is just insufferable).
These are members of the Discovery Institute which formed around 1990 and they promised to gather scientists who could research ID "unemcumbered by scientific materialist dogma." And they'd be cranking out solid research and data that would "overturn scientific materialism" and produce knowledge denied by the current restrictive paradigm.
And since the 90's mostly what we've heard from the DI is the sound of crickets. Mixed with stabs of self promotion and sour grapes tossed at evolution theory. Looks like science will just have to go on getting stuff done without these hacks, no need to continue waiting twiddling thumbs for anything of substance to escape that place.
I would suggest you watch the video they problem is based on mathematicsn no mention of religion. I was surprised when I came across this recently.