"Quite simple. ID hypothesizes that an irreducibly complex organ is not replicable through a random process of natural selection. Create such an organ in an organism which did not previously possess it in a lab through a randomized process and voila! You have tested ID and found that it can be falsified.
Wrong. The theory of evolution already falsified your conjecture, before it was announced.
Your irreducible complexity is hand waiving, accompanied by simplistic and erroneous models. The IC model itself is junk that results in a calculation that says the model itself is junk.
"The designer is not necessarily God according to the Judaeo-Christian definition, for example."
Who then?
Hardly. Evolution has not been replicated in an experimental setting either before or after ID.
Who then?
Some intelligence which, while unable to create matter ex nihilo, is able to manipulate it subtly enough to create living things.
Like the Demiurge of the Gnostics, for example. Or the Satan of the Albigensian Cathars.