Wikipedia says, "The phrase E ticket (or E ticket ride) refers to an unusually interesting, thrilling, or expensive experience. It derives from the admission ticket system used at the Disneyland and Magic Kingdom theme parks before 1982, where the E ticket (officially termed "E coupon") admitted the bearer to the newest, most advanced, and/or most popular rides and attractions."
So I say, thanks, Wikipedia, for explaining what the hell this song is supposed to mean:
When an irresistible force such as you Meets an old immovable object like me You can bet as sure as you live Somewhere, sometime, somehow Something's gotta give