Something totally unexpected, and/or shocking; Something nobody saw coming. Also a cry one emits when bringing doom and/or shock upon thier unsuspecting victims.
A perfect example of a SURPRISE COCKFAGS moment:

*Solid Snake appears in Super Smash Bros Brawl trailer*
Public: WTF?
Nintendo: SURPRISE COCKFAGS!
by Dead_Decoy November 5, 2006
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Battle cry for the east-coast paintball team: World Police out of Maryland.

This specific cry is a reference to the Team America: World Police movie scene in which Chris, one of the World Police, cry it as they trick the terrorists into blowing themselves up.
"Whoa, we were just walking through the woods and then heard "surprise, cockfags!" as we were ambushed."
by Furious 8 July 23, 2007
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