That's quite easy: I can lift a rock, a Turing machine can't.

That sounds like a parody of bad anti-computationalist arguments. To see what's wrong with it, consider the response: "Actually you can't lift a rock either! All you can do is send signals down your spinal column."

That consciousness is about computation alone may indeed end up true, but it's as yet unproven.

What sort of evidence would persuade you one way or the other?