The obvious counterpoint is that if I followed your argument to absurdity, then I would also have to conclude that if I am conscious, then you can't be, because

The obvious counterpoint is that if I followed your argument to absurdity, then I would also have to conclude that if I am conscious, then you can't be, because the atoms of our brains aren't arranged in precisely the same way. It clearly makes more sense from a monist point of view to consider consciousness an emergent property of complex systems, rather than one particular process.