The only thing that "Darwinism" tells us is that the frequency with which genetic traits are expressed is constantly in flux. That, and only that, is the idea behind evolution. And it's a damned good idea, backed by sound science, common sense, and a very good knowledge of the mechanism involved.
The rules are not knowable, not even under basic arithmetic.
But, we can be sure that no future Universe will violate this.
A basic property of ID is the hypothesis that the rules in whatever state they are discovered, favor humanity.
The rules may be something like Darwin's pareto optimization.
That there exists pareto optimization just highlights the game theoretic nature of the Universe.
I would expect that there is sufficient fodder in this concept alone to argue that certain Darwinian theory is a special case of ID.
Actually it says quite a bit more, common descent and natural selection for example.