Its a very interesting paper and does provide convincing evidence for a common ancestor for humans and chimpanzees. But its by no means the only non functional shared derived trait we share with the apes these include thousands of pseudogenes and viral sequences as well as large amounts of conserved synteny (genes being in the same order on chromosomes) which decrease according to how distantly animals are thought to be related.
this definition of cladistics might help people understand the paper:
"Cladistics is a particular method of hypothesizing relationships among organisms. Like other methods, it has its own set of assumptions, procedures, and limitations. Cladistics is now accepted as the best method available for phylogenetic analysis, for it provides an explicit and testable hypothesis of organismal relationships. The basic idea behind cladistics is that members of a group share a common evolutionary history, and are "closely related", more so to members of the same group than to other organisms. These groups are recognized by sharing unique features which were not present in distant ancestors. These shared derived characteristics are called synapomorphies.
Note that it is not enough for organisms to share characteristics, in fact two organisms may share a great many characteristics and not be considered members of the same group. For example, consider a jellyfish, starfish, and a human; which two are most closely related? The jellyfish and starfish both live in the water, have radial symmetry, and are invertebrates, so you might suppose that they belong together in a group. This would not reflect evolutionary relationships, however, since the starfish and human are actually more closely related. It is not just the presence of shared characteristics which is important, but the presence of shared derived characteristics. In the example above, all three characteristics are believed to have been present in the common ancestor of all animals, and so are trivial for determining relationships, since all three organisms in question belong to the group "animals". While humans are different from the other two organisms, they differ only in characteristics which arose newly in an ancestor which is not shared with the other two. As you shall see on the next page, chosing the right characters is one of the most important steps in a cladistic analysis."
from:
Introduction to Cladistics
and
"clade -- A monophyletic taxon; a group of organisms which includes the most recent common ancestor of all of its members and all of the descendants of that most recent common ancestor. From the Greek word "klados", meaning branch or twig."
from:
UCMP Glossary: Phylogenetics