TheFullMonty refers to Field Marshal Bernard Montgomery (leader of British troops in North Africa during WW2), and his insistence on having a full English breakfast wherever he was.

''Any relation to the Katrina Hurricane FEMA guy who made sure he had a lunch rather than manage rescues?''

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I believe WinstonChurchill said: "Montgomery: In defeat indomitable, in victory insufferable."
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TheFullMonty is also quite pervasive in the erotic media industry. It has a variety of meanings, depending on context ... but I suspect most are apparent without further explication here.

-- TomStambaugh

The Full Monty movie is very funny where a group of men from Sheffield who are on the dole hit on the idea of stripping to make some money. Very, very funny.