Superbelt

No? Why?

Science: The observation, identification, description, experimental investigation, and theoretical explanation of phenomena.
Which goes hand in hand with
Scientific Method: The principles and empirical processes of discovery and demonstration considered characteristic of or necessary for scientific investigation, generally involving the observation of phenomena, the formulation of a hypothesis concerning the phenomena, experimentation to demonstrate the truth or falseness of the hypothesis, and a conclusion that validates or modifies the hypothesis.

Intelligent Design: The theory of intelligent design holds that certain features of the universe and of living things are best explained by an intelligent cause, not an undirected process such as natural selection.

ID is NOT "being pursued as a scientific investigation"
To date, there is no: empirical process, experimentation to prove or disprove, conclusion that validates

There sort of is: observation of phenomena, formation of a hypothesis
But...the observation is only answered as "God wills it" not by providing any evidence whatsoever. Their formation of a hypothesis is based completely in not believing that evolution can happen and that God just wills it.

That is not science! I will happily admit ID into scientific debate once it has fulfilled the scientific process. I believe it goes without saying that I won't be holding my breath though. Until then, we shouldn't be teaching our kids every crackpot 'theory' that is out there. We should be teaching them according to bedrocks of science that our entire intellectual world is based on.

I still come back to vestigal parts. It's something that, because of their inability to ever answer, should exclude them from all intelligent national discussion and definetley exclude them from being included in school curicullum.
To expand on the reptile eye parts that we have, there is one in particular The Parietal "Eye". This is a photosensitive organ that connects to the pineal body. It's only use is to discern between light and dark (purely movement based). It has a rudimentary retina and lense. It is a gray spot on the top of some lizard heads. It is this "eye" that makes some lizards instinctively run away when you try to swoop down from overhead to grab them. If you have them in your car, they will duck as you go beneath an underpass. This is important for a lizard as it makes them go nuts and run. They get the slightest speck of movement from an overhead bird that is too high for the human eye to even see at all.
Humans have one, too, but ours has no outlet at the top of our skull, we can't use it.
Why would God give us this eye, but then close our skull over it, making it useless to us?

Others:
Gills and corresponding arteries on human fetuses
Wisdom teeth are vestigal in europeans (and of descent) specifically because of our shorter jaw, and in many cases must be removed.
Among humans the sense of smell is incredibly underdeveloped, almost useless. But Aboriginals, all of them, are able to identify other people by their smell alone. Why can't I do that?

Moles have eyes that are covered in fur
Cows have six teats, two of which are vestigal (as undeveloped as the vestigal male nipples)

All of these things, including human appendix take resources from the animal to keep them running. It makes us horribly inefficient. Sometimes, like with the appendix and wisdom teeth, their mere presence is a serious risk to our life. Again, why include these parts if we don't need them? Why would the Designer bother to include them at all?

(Btw, thanks Locobot for correcting me on appendix)