Because we all have a creator. so it's understandable that all creatures would have some similarities.
These type of similarities could exist if we had an imperfect creator, or a creator than used an iterative process of development ie evolution.
So, all invoking ID here would mean is that evolution happened, but it happened in a giant lab in heaven, not on earth.
So if that is your new ID argument: The creator would not be all knowing. He would have learned and developed life in a lab in heaven without an absolute understanding of what his end result would be, using an iterative process of development and testing analogous to evolution. Thus this theory must accept that our scientific understanding is correct in that biology is determined by an evolutionary process, but scientist were wrong in assuming evolution occurred on earth rather than in a God Lab.
This would be the only scenario compatible with a creator, and the aforementioned genetic traits. I admit it would make a kinda cool movie.
The reason I know this, is that I have worked in Computer science, and as a mechanical engineer. In either field, regardless of the material, any of our source material you would see vestigial code, or suppressed features.
Code has unused functions. 3D models have hidden geometry, suppressed features, and equations. These are left behind by creators. But the reason these exists, is that human engineers are imperfect, and must design things through iterative processes. An all knowing and perfect being would have no need for these types of features.