Consciousness is not a thing that gets bifurcated. It is just a word for an information state that is aware. If you create two information states, you have two awareness states. That is not bifurcation any more than copying a movie and editing one pixel on one frame (or as a better analogy having an effectively infinite number of frames with every possible pixel combination some of which describe aware states).

I don't see how that would allow or require seeing a cat in a complex linear superposition. You just have one set of frames which describe a live cat and another set of frames that describe a dead cat.