You haven't been around in a week or so, so I'll keep this short since there's no guarantee you'll see this, plus your message drew lots of other responses.
Some of the responses raised questions about why God would have created in such a way. My view of God is that he is a deep mystery, and that not only is there no way to tell why He creates the way He does, it isn't even possible to tell what He created through miracle and what He allowed to happen naturally through the physical laws He put in place in the beginning. Therefore, the presence of identical broken genes in various primate species cannot be interpreted as evidence against God - it is simply one more of his mysteries.
But it important to recognize that you are not doing science when arguing that God rather than natural processes did something, at least not until you establish the existence and nature of God on an objectively scientific basis. In other words, you cannot resort to God as an actor on the scientific stage until you produce scientific evidence of God.
Hence, from a scientific perspective the presence of identical broken genes in primate species is evidence (not proof) of common descent. And from a faith-based perspective, whether they are present or absent makes no difference since God explains whatever we find. But a scientific approach is required if you're going to argue against the presence of evolution in science classrooms. Replacement of "evolution did it" with "God did it" wouldn't be accepted in our secular public schools.
--Percy