I wonder if you might have misunderstood this question. Diamond does not argue that Mesoamerica had advantages. Quite the contrary, he discusses the advantages enjoyed by the Fertile Crescent at length in Chapter 5.
In Chapter 5, he lists five advantages that the Fertile Crescent enjoyed when it came to food production. He talks, for example, about how many species of domesticable plants and animals existed in the Fertile Crescent and about how the plants there were better than plants elsewhere. After he gets done listing all of the advantages that the Fertile Crescent had, he says, on page 142 in the paperback edition, "the situation in Mesoamerica contrasts strongly" and goes on to say that Mesoamerica lacked domesticable plants and animals.
Therefore, I believe that you must have misunderstood the question.