I don't have a problem with the inbreeding question.
Anthropologists are trained to avoid "just-so stories" but here goes anyway.
Imagine a troop of LastCommonAncestors (LCA's) hangin' out at the edge of the savannah. There are many troops, largely homogenous with one another, crossbreeding and competing for resources in various degrees. One member of the troop in question has a mutation, the combined chromosome sequence. That individual has a number of offspring.
Again, I'll suggest googling punnet squares to understand how this chromosome difference will spread through a population.
So anyhoo, these offspring carry a copy of the mutation (let's just call it that) along with whatever other genetic tools and/or baggage they carry from teh rest of the troop. This troop is now set on the path that leads away from the other troops around them, who variously would become the chimps, bonobos, gorillas and I think 2 or 3 others, now extinct.
The mutation doesn't prevent the members of the troop from functioning, nor from breeding, and may or may not be part of a spectrum of mutations some of which give selective advantage somewhere in the pallet of environments available for the troops to exploit.
Given the nature of feedback loops, whatever selective advantages this troop has over others will increase over time. We're talking about a MILLION generations or so, which is a lot of iterations in a recursive feedback loop.
Eventually this troop gets to the point that other troops won't or can't breed with them. That's speciation.