I think it is counterproductive to wait on creationists to commit to a great ape baramin so we will move forward with this image found at Objective: Ministries
OBJECTIVE: Creation Education | Baraminology
They obviously have the different races of man in one baramin and the great apes in another as suggested in the opening post. So let's move one from that point.
This is where I will introduce a very simple yet important concept: mutations do not move between species. A mutation that happens in a chimp does not automatically appear in the human population. The two baramins are genetically isolated so mutations that happen in one baramin stay in that baramin. This is especially true for neutral mutations.
So what is our launching off point for the two baramins? The two common ancestors for each baramin: the common ancestral population for the great apes and the common ancestral population for humans (Adam and Eve?). At that point there is a set amount of genetic differences between each population, between the common ancestors of the apes and the common ancestors of humans.
Now each baramin starts to accumulate mutations, and in the case of the apes they split into three species (we are lumping chimps and bonobos). However, nowhere in the process do mutations flow between the two baramins. This means that the two baramins must drift apart as they accumulate different mutations. More importantly, ALL of the ape species will drift away from humans more or less equally when making comparisons across the entire genome.
This is a concept called
genetic equidistance. This is a process whereby entire clades continue to drift apart after they a split, but in this case they started separately. The concept still applies, however.
So, if the baramin claim is true we can make a very solid prediction. When we compare genomes between apes and humans we should see an equal number of differences between humans and any one of the ape species.
On the other hand, if the evolutionary claims of humans being within the ape clade are true, then we should see that humans are more closely related to chimps than to gorillas, and even more distantly related to orangutans.
So which model makes the correct prediction? The evolutionary model. The baramin model is clearly falsified by the genome comparisons.
This is why we know that the baramin model is false.