You object to an Arab being assigned those characteristics.
Doubtless similar objections would be raised to a fat lecherous black man, a fat lecherous Asian man (of the South or East-Asian varieties), a fat lecherous Hispanic man, or a fat lecherous First Nations person. Why? Because in North American culture's long history, there's always going to be at least some legacy of that sort of racial characterization (though the First Nations person would be skinny rather than fat).
Basically, you're left with a white guy (preferably an American), because nobody ever complains about them (unless they're gay, disabled, etc.).