The conceptual problems that exist are related to the so-called collapse of the wave function. This concept has explanatory power, but it must be emphasized that at the ensemble level, it is, with precision, deterministic. Schroedinger's Cat is only a thought experiment useful for trying to capture the difficulty with this concept. Later on you suggest that chaos is responsible for psi processes. Again, chaos is at bottom a deterministic theory.
Chance occurs due to fuzzy initial conditions.
The weather is an example. Of course weather forecasting is getting better and better. Whereas once we used to have gods controlling the weather, now we see it merely as one that science can address. This is the problem with theories that assert spiritual entities where science hasn't penetrated. Chance is your friend.