Should you wish to render a Cubic Chunks world with Chunky you would first need to convert the world to a Vanilla Minecraft Anvil (upto 1.12). To do this there is a provided standalone Cubic Chunks Converter which will export the Cubic Chunks world into multiple 0-255 block slices in the vanilla Anvil format.
You would then render layer 0-255, layer 256-512 while applying a +256 to the cameras height/y position, layer 513-768 : +256y, etc. seperately, using the recommended parallel camera projection, and composite these in an application like GIMP. The use of alternative projection modes may require addtional math and/or lense shifting to correctly composite them. Addtional features images like the depth map may prove useful.
(This method has not been tested. If someone has world for me to test I would be happy to do so)