Actually, the nested hierarchy does work in biology when you look at the details carefully. Your portrayal of the data is highly inaccurate. You say, for example:
However, looking in finer detail than you have done in your sentence, biologists see that the structure of bat wings falls more closely into the nested hierarchy with rodents than it does with birds.
When you say “bones and muscles in the wing,” that’s extremely vague. It hides a ton of important details.
And of course there are more features than wings that biologists are looking at. This would include DNA sequences, which are the subject of this thread.
It seems to me that you felt like you couldn’t come up with an answer to the DNA sequence nested hierarchy, so you switched over to an area where you thought you had a “design” explanation. But a careful examination of the details shows that your “design” explanation is unsatisfactory with respect to wings also.
My $.02,
Chris