In The 12 Chairs, there is a character, Ostrap Bender, who pretends among other things to be a great chess player and arranges a simultaneous exhibition. He looks towards it with confidence, knowing that at least the first move, 1. e4, won't present any problems. Never mind that he can hardly remember how the pieces move -- after all, how hard can this game be?
Parky is a bit like this in the ME peace front. He is quite ignorant of Israel or the ME conflict (unsurprisingly, never having been there, not speaking Hebrew or Arabic, and relying for his "information" mostly on far-left sources), but that doesn't stop him from being convinced following his view is the one and only way to peace. Never mind that his "solution" and his view of the "history of the conflict" happens to coincide with those approved of by the radical Islamists, holocaust deniers, and other assorted Jew-haters who want Israel destroyed (like the PLO, for instance) -- after all, how hard can this ME peace thing be?