This is the second SCUMM graphics adventure from LucasArts (published in 1988).

You are a reporter for a supermarket tabloid and you become involved in a plot by aliens to brainwash the world. You will have to face two-headed squirrels, and sentient brooms as well as travel to many continents and even Cydonia on Mars before you are through. And why is the Sphinx wearing those Groucho glasses?