Is that our definition, or do you have something more to add?
Id rather go back to the official statement narrowing in on living things more specifically as follows:
I don't have a problem agreeing to a more expansive definition so long as it's a valid one. Since we are discussing modifications specific to the modern synthesis theory of genetic evolution, then the definition for our purposes needs to bear some relation to that. We are not talking about whether, say, star formation or the value of 2+2 can be attributed to intelligent design..
So, will the following work:
Intelligent Design: A hypothesis wherein any biological process is explained by an intelligent cause, rather than an undirected process such as natural selection.
Is that our definition? That covers both "functional molecular machinery" and "points of differentiation" (and a number of other things beside).
Intelligent Design: A hypothesis wherein given features of life v non-life are explained by an intelligent cause, not an undirected process such as natural selection.
Is that now our definition moving forward?