> But we are not talking about mitosis, so we don't need to go there

I'm probing to get a better understanding of your belief system. How does it hold up under symmetrical cloning?

> What magic would transfer your consciousness into this clone?

I'll label:

* IM: Immaterial "me" - a "soul", impacted by the physical. May impact the physical or just be an observer depending on variant of dualism

* PM: Physiological "me" - personality, memories, train of thought, currently physically instantiated as a brain

From what I understand, you believe there's an IM controlling a PM, and the IM is a different kind of stuff that would not be cloned. On cloning of PM you think this happens (at the instant of cloning):

    IM    New soul
    |     |
    PM    PM

You ask "Would you control both bodies, see through both set of eyes" because you thought sunaurus is proposing this happens:

       IM 
      /  \
    PM    PM

Whereas I (and I think sunaurus) don't believe in an IM. We think two physically identical persons really are identical, including whatever we'd call consciousness, so it's more like:

    PM    PM

Others may believe that all is not necessarily physical but does at least supervene on the physical (so identical PM has identical IM arising from it):

    IM    IM
    |     |
    PM    PM