Don't know if they could be reasonably meshed with the story of the Planet Killer, unless they become some Deus ex Machina (sans Machina) solution to the insurmountable problem of what to do with the thing, and I fear that might be a cop-out, following along the path of NuBSG, with everyone boiling it all down to blaming it on God. I do like the concept of the Organians, but I don't know if it will work with any other plot device.
OTOH, playing devil's advocate, a part of me also thinks we should generally part ways with TOS-sourced material and let this new crew find different things to discover. We had Khan recently and the Origin Story before that. It may be time to explore new horizons.