I was thinking this would be too much of a stretch, but then I started thinking about the back story for the Dominion. According to their creators, they said that the Dominion had been watching a studying the Federation for centuries. They also said that they would have attacked in another 200 years (26th Century), but when Sisko discovered the Wormhole, they had no choice but to have First Contact early.
Now if they're truly spying on the Alpha Quadrant, would it not be too far fetched to assume they have doubled their efforts after seeing Starfleet's technological jump? Plus there is the matter of Spock Prime stuck there. I would hope that he gives them some heads up on future events. I know for the most part that would be a big no no, but he knows he is in an alternate timeline so letting them know what happened in his own time might not be out of the question.
What do you guys think? Would you like to see James T. Kirk pimp slap Weyoun someday?