I'm not entirely clear about the details of your situation. Why is there drift? Why do you presuppose that the species must bifurcate in a single direction? What causes the bifurcation?
To be clear:
I've really been taking two different tacks in my previous post a sort of strong determinism, based on punctuated equilibrium, and a weaker one.
Weak:
I guess it would depend on what is causing the drift. I would argue that directed drift does not occur spontaneously. When people talk about mutations being indifferent, they're essentially saying that in absence of selection the gene pool drifts in all directions(ie the standard distribution of the gene pool increases to the limits allowed by the niche, but the median stays fixed.) So if you postulate that the median of the gene pool is shifting, then I would assert that this is either because some external cause made it possible for the species to enter a new niche and the species adjusting to a new equilibrium or that some external selective pressure has been applied to the species in its current niche and this is causing the species to adjust to the new pressure.
Strong(which assumes everything the weak position does):
Punctuated equilibrium suggests that as far as our evidence is concerned, we don't see drift, we see discrete changes. So one species, pivotal event, new species. This may be because drift never occurs or it may be because the scales of evolution and our evidence is so many orders of magnitude larger than the time scale of genetic drift that it is highly improbable that we'll see a smooth continuum of transitions. Either way, this sort of drift is not significant to the theory of evolution. All that needs to be considered is the characteristics of a species at ecological equilibrium, just like the macroscopic study of a gas.