What do you mean “it cannot go behind the means of their source”?
I explained & illustrated that in my post
So do I. I’ve several books on evolution I’ve not yet found the time to really sit down and read.
Materialistic science can not.
Science can already detect (in certain fields) where non-natural things happen.
That’s not the same as detecting - never mind recognising - God.
If God could be detected by science - no matter of what kind - that would mean that God was no more than some wretched “god-of-the-gaps”; IOW, the godlet of ID. And such a godlet is not the God of Christian theism, or of the later Prophets. It’s no more than a titivated modern version of the very idols the Prophets exhausted themselves in denouncing, even though it is dressed up in science. But God it is not.
“Blessed are the pure in heart, for they shall see God” -
that is how God is detected; not by scientific means. For purity of heart is itself His gift. The sciences most definitely have their uses - scientific methods are a wonderful means for finding out about the natural world (Peter Singer had some good words on this in a recent interview); but scientific method is neither omnicompetent nor all-sufficient nor infallible: there are vaste swathes of human experience which it is incompetent to judge - such as art. And it is equally incompetent to pronounce on God, because God is not an object in the universe - if He were, He would be no different in kind from any Ancient Near Eastern or Classical god; again, he would be a mere idol.
At most, such a god would be a sort of demiurge - but the Real God, the only God, would still be untraced & untraceable; nothing can be God, except for God alone, & we must accept no substitutes. Unless we forget about being Christians entirely - such a god would be perfectly adequate for a religion circumscribed by created nature, like the religions referred to; but God is not circumscribed by created nature, He is its Lord, not part of it; except
because He is both its Lord
and is gracious - so He can became part of His own creation by His grace, but only because He wholly exceeds it by Nature. Created nature is not transcendent, so it cannot be the source of grace - so if God is circumscribed by created nature, He cannot be its Lord, cannot be gracious, cannot be the God revealed in the Bible & in Christ.
Do you have a measure for ‘worth’?
Tá Críosd ar éirigh!
Christ is risen
ID is worthless because it is a hybrid mix of theology & science - both are spoiled when put together in that way. Milk & butter don’t go well together, merely by being put together - they can be put together, but not in that way. So with theology & science - they too can be related; but not in that way. A Christological analogy would be the difference between the Hypostatic Union, & “mixing” the two natures; the Tome of Leo rejects relation by mixing, & insists that both nature retain their characteristics & properties. So with science & theology - they too retain their characteristics & properties, otherwise one ends up with the two of them being related to one another in a way that spoils both. ID implies a wonky doctrine of God, & a wonky Christology - conversely, both of these provide patterns for thinking about things other than, & less than, themselves.
That’s where ID gets you

It’s a will-o’-the-wisp - it looks serviceable, but it is theologically bankrupt, & destroys the very theism it is used to support.
Which is another way of saying that the universe is a particular sort of universe - it is specific, & it is intelligible; & this specificity & intelligibility are fundamental for human understanding both of it, & of its transcendent & unique Creator. So science is a knowledge, as is theology - but that does not make them identical, or imply that they can be studied by the same methods.
Hope that helps ##