Alan Bradley is a character in the 1982 film Tron, the software developer who wrote Tron, a security program and the eponymous protagonist of the film. Alan Kay, on the other hand, is a pioneer of object oriented programming and graphical user interfaces.
The protagonist in the TronMovie is named Alan, and is fighting against the command-line oriented MasterControlProgram. This was a deliberate allegory of the life of AlanKay. Alan and one of writers of Tron (BonnieMacBird? -- Bonnie MacBird - Biography) subsequently were married.
Now, Alan Bradley is not the protagonist, but Bruce Boxleitner plays both characters, Alan Bradley and Tron, so I think we can ignore that little inconsistency. At the end of that page, there's a second claim:
Just a note here, after my recent purchase of the TRON 20th anniversary DVD I listened to the directors commentary in which they stated that while "Allen" was in fact named for Alan Kay the term TRON does not in fact refer to the acronym for Trace ON as at the time of filming they were not even aware that such a thing existed. It is actually a much less dramatic shortened version of the word elecTRON. I know it steals some of the nostalgia doesn't it?
It seems plausible, and if true it would be a great opportunity to watch Tron again for the n-th time, just to try and spot any further references to Alan Kay's work.