While I do enjoy the theme SFDebris brought up about the Founders being false gods and the Prophets being the true gods. There is something diminishing about the Federations victory because it's basically "Fuck the Dominion we have GOD on our side".
I disagree, the Federation still had to fight hard to win the battle (and ultimately the War). The Prophets only acted within their own sphere (the Celestial Temple).
If they had reached out into the regular universe and started destroying Dominion left, right, and center, then THAT would have diminished the Federation victory.