Not enough to live out that fantasy in the White Hut, it seems. Maybe he's telegraphing his MB friends and meant hijab or keffiyeh instead of mustache.
On the subject of disguises,
In 1948, David Ben-Gurion appointed Golda Meir to be a member of the Provisional Government. A few days before the Declaration of Independence, BenGurion sent her disguised as an Arab on a hazardous mission to persuade King Abdullah of Jordan not to attack Israel. But the King had already decided his army would invade the Jewish state following the British departure.
I’m envisioning a Mr. Potato Head w/Groucho mustache, glasses, and hugh ears.