If I understand you you are saying that a preferential
mutation mechanism could be responsible for the apparent
similiarity in primate genomes.
So there was no common ancestor, but each kind of primate
evolved the same way due to this mechanism.
This mechanism, however, operates differently in different
kinds of animals.
So primates are more closely related to one another than
to bovines.
Does this mean that you believe that diverse groups of primates
are all evolving to a common end point?
How does the presence of such a mechanism allow for
the diversity that we see in primates (let alone life
on Earth)?
It seems to me that your arguments support common ancestry better
than any concepts of design.
We have a group of creatures (the primates) that at some time
in the past were all so similar that they have genomic hotspots
in the same areas, that have changed in similar ways. They also
must have hotspots in different areas to one another, and these
have changed in different ways.
At best this devolves to the same difficulty that Tranquility Base
points out that common descent and common design are hard to
differentiate.