We are not talking at all about “their arguments”, i.e., the arguments of ID proponents, whether about design or anything else. We are talking about your claim (not originally yours, but since you expressed wholehearted agreement with it, it becomes yours) that ID offers “bad theology.”
You cannot say whether ID offers bad theology without having a standard, i.e., good theology, against which to measure the theology of ID. If you can’t see that you are necessarily employing such a standard, then you aren’t capable of the performing the most elementary operations of reason. And if you are aware that you are employing such a standard, then you are obligated (if you expect anyone to agree with your judgment) to present that standard, and to show how “ID theology” fails to meet that standard. And you refuse to do the latter. So basically, your charge is sheer bluff at this point.
So, can you tell me: according the formal theological confessions of (the list is not meant to be exhaustive) Roman Catholicism, Eastern Orthodoxy, the Reformed church, Orthodox Judaism, Sunni Islam, Shia Islam, Saivism, Vaishavism, Sikhism, and according to the theological positions of (again, the list is not intended to be exhaustive) Sankara, Ramanuja, Aquinas, Augustine, Calvin, Cranmer, Al-Ghazali, how is “ID theology” (which you have yet to define or even describe) a “bad theology”?
If you cannot answer that question for even one of the above religions or authoritative theologians (or some equivalent example not given on the list), then I would suggest that you never should have expressed an opinion on the subject.