Are we still on this kind thing?
A group of organisms contained by a force of genetic cohesion (in most cases gene exchange, but there are others) has a cap on the level of divergence that can arise between any two populations within it. That is, there is a limit to how different two populations of organisms can become from one another, even in the face of diversifying selection, as long as gene exchange is going on. Once gene exchange stops occuring (sometimes for geographical or ecological reasons first, but eventually for physiological reasons), the barrier comes down. Populations are then fully at the mercy of the selection pressures of their environments and are capable of divergence without bound. They are also irrevocably seperate at that point, and will never ever be the same species again no matter what happens. If they remain under similar selection pressures they might continue to look very similar. If they are brought back into sympatry and retain ecological similarity one might outcompete the other to extinction. But the speciation event is irreversable once the cohesive force of genetic exchange is gone.
All the higher taxonomic groups are somewhat arbitrary compared to this. They just denote groups of organisms with common features due to common ancestry. Every new genus, family, order, class, and phylum originated with a speciation event not too different from any other speciation event, just longer ago.
Species is the only classification that has any biological relevance. Either species are kinds, or all organisms are one kind. No other designation of kind makes any sense within the framework of population biology.
Edit: Another thought just occured to me. A question for FL2 or one of our other religious posters. I understand Genesis says creatures reproduce after their own kind. Evolution does not conflict this statement by itself. The vast majority of the time they do. Does Genesis specifically say that creatures reproduce after their own kind and only their own kind? Honestly just curious. I'm wondering if there's a loophole in there that might allow for speciation.