Here is a question for you. When Monsanto produces genetically engineered corn, is that ID ? For if it is, I believe in ID. However, I think ID for the most part are creationists posing as scientists and attributing everything to the supernatural.
Depends what definition of "intelligent design" we're using, as there doesn't seem to be a commonly accepted definition, upon review.
With that said, stripped of its "alternative to the ToE" baggage, the phrase "intelligent design" certainly applies to the products of genetic engineering, or any other item produced by man.
But stripped of its "alternative to the ToE" baggage, "intelligent design" becomes rather mundane in an empirical kind of way, inasmuch as it is understood how things are made, anything anyone has ever made can be reproduced by anybody else, and the supernatural doesn't enter into the picture.