Interesting question. The short answer would be that the gods did look like the Greeks, more or less. I would recommend that this guy look into Greek paintings (and sculptures) on pottery. Sometimes, the Greeks would write the character's name next to the figure. You don't need to solely rely on the literary remains of Greek culture. Also, a quite caveat: He needs to do research on what time period the visual representations come from. Also note that the Romans sometimes made copies of Greek sculptures, so he could potentially use that despite the statue being made later.
Also, the comment about the Greeks not seeing themselves as being "Greek" is utter bull shit (pardon my language...this is the field of my thesis work). While he is right that they saw themselves as "Athenians" or "Spartans" or "Corinthians" first and foremost, there was still an awareness that they were all "Greeks" (or rather Hellenes). See Herodotus'
Histories 8.144 for an example of this awareness.
...αὖτις δὲ τὸ Ἑλληνικὸν ἐὸν ὅμαιμόν τε καὶ ὁμόγλωσσον καὶ θεῶν ἱδρύματά τε κοινὰ καὶ θυσίαι ἤθεά τε ὁμότροπα...
...On top of that, there is the fact that we are all of us Greeks (τὸ Ἑλληνικὸν), of one blood and one tongue, united by the temples that we have raised to the gods, and by the way in which we offer them sacrifice, and by the customs that we have in common (Tom Holland translation 2014).
Edit: Wow...a lot of OOC posts went up before I finished this...
Edit2: Also, see Xenophanes'
Wikipedia page for insight about his criticism of how the Greeks imagined their gods. Also, see Fragments 11 through 16
here (although it is the same quotes referenced in the wikipedia article). I also mentioned Xenophanes' views in the Athanatoi CS.
