This argument is not going to win over their heads and hearts. It's clearly written for a reductionist reader, who accepts concepts such as Occam's Razor and knowing-what-a-correct-theory-looks-like.

I would suggest that people who have already studied this issue in depth would have other reasons for rejecting the above blog post. However, you are right that philosophers in general don't use Occam's Razor as a common tool and they don't seem to make assumptions about what a correct theory "looks like."

If conceivability does not imply logical possibility, then even if you can imagine a Zombie world, it does not mean that the Zombie world is logically possible.

Chalmers does not claim that p-zombies are logically possible, he claims that they are metaphysically possible. Chalmers already believes that certain atomic configurations necessarily imply consciousness, by dint of psychophysical laws.

The claim that certain atomic configurations just are consciousness is what the physicalist claims, but that is what is contested by knowledge arguments: we can't really conceive of a way for consciousness to be identical with physical states.