Mmm... I don't know about exact opposite - in Majesty, you don't pick up heros and drop them to where they need to be. You also don't assign your heros or peasants "tasks"; you either set a reward/explore flag and hope the heroes will go to it, or place a building to be built and your peasants go to it automatically.
Now, I haven't played Dungeon Keeper, but I have extensively played Majesty and judging from DK's wiki entry, they really don't sound alike at all.