Y’all Check Out My Rebus

The ballplayers above share nothing but a love of the game, the ability to look good in a round-topped, large-billed cap, and the appearance of their names in at least one sentence of standard English. Not just any sentence, mind you; a Memorable Quote from a Classic Film. Proceed.
Should you be the first to crack my rebus, I will a) write all about it in my diary and b) reward you by letting you name the topic of my next post. (Click to embiggen)
Open the pod bay doors, Hal.