Re: Anyone else think it was wrong for the Federation to win? *Spoiler
The Dominion also tricked the Romulans and Cardassian security forces (Tal Shiar and Obsidian Order) to try and attack the founders homeworld in "The Die is Cast" and I believe the founder pretending to be a Romulan even said that the Federation wouldn't be a threat for much longer.
I don't think it was outright conflict, just the end of their alliance and the start of a brief Cold War. Remember the Klingons stand down at the end of WOTW.
But you're right about Dominion strategy-they were practicing the old conqueror's method of "divide your enemies, take them on one or two at a time, don't let them unite against you."
That's why the Dominion didn't want the Romulans to join the Fed-Klingon alliance-they were going to deal with them after the other two powers were defeated.
The Dominion also tricked the Romulans and Cardassian security forces (Tal Shiar and Obsidian Order) to try and attack the founders homeworld in "The Die is Cast" and I believe the founder pretending to be a Romulan even said that the Federation wouldn't be a threat for much longer.