Ok, I'll dissect the two rather lame items you claim are evidence for Darwinism, to the exclusion of any other theory:
On the other hand, evolutionary theory predicts that closely related biological organisms will share a large amount of the same genetic material.
LoL! What are closely related biological organisms, if not organisms that share a large amount of the same genetic material? So that is no "prediction," it is a definition.
The theory predicts that biological organisms, even those of the same species, will develop physical traits that enable survival of that species due to the unique geography and environment in which those organisms live.
They haven't "developed" those physical traits. Not in human observation and certainly never "as predicted." Or, if I'm wrong give documented examples of species that developed new physical traits after Evolutionary theorists predicted they would.
What happens - very rarely - is that the environment changes, such as a darkening of colors, and then an existing trait, such as a a darker color than most members of the species, allows darker individuals to survive and reproduce more efficiently than their lighter cousins, thus increasing the numbers of darker individuals.
That's not evolution, because that is not a new species. If the environment lightens up in color, the lighter color individuals will once again thrive.
You can't claim "survival of the fittest," if your evidence that they are the fittest is that they survived. Pure circular reasoning.
Even trying to prove that circular reasoning actually happened, Darwinists resorted to fakery, as I will talk about in the Scientific Hoaxes thread.
If it is the same species, that is not Darwinism. Darwinism is "Origin of Species via Natural Selection." To prove or even weakly support Darwinism, you would need to show a new species arising from an existing species via natural selection. Darwin claimed that happened hundreds of millions of times. Show some recent documented examples.