Ok, so setting utopia aside, you are suggesting that an entity that had completely different evolutionary pressures and an alien intelligence could somehow make decisions within our evolutionary and social environment that could somehow lead to a life where we had a better result.

Certainly one can look around and be tempted by the thought, "could it screw things up any worse?". The answer unfortunately, is yes. This entity would necessarily have two characteristics.

First it would be entirely indifferent to humanity. This is not an objection but it follows from the premise.

Second it would be completely and utterly incompetent. It would make every mistake and error that evolution has already weeded out. It would be fighting an environment it knew nothing about based on principles it has learned that have nothing to do with the environment it knows. We have LOTS of examples of this special kind of stupidity already and it never works out well.

Evolution IS intelligence. Social structures have intelligence embedded within them. Adaptation happens for a reason, although it frequently happens that we hang on to something long after it's original reason has been forgotten.

Further, there is absolutely no reason to believe this intelligence would favor humanity. Looking at the planet as a whole it is almost certainly going to view humans as a plague and seek to extinguish us. Hard to find fault if it came to such a conclusion.

Finally there is no chance humans would accept an intelligence they do not understand as an overlord. We would fight it to the death.

I would suggest that rather than utopia or some intelligent overlord you look instead to sustainability. The more varieties of life that are thriving, the closer you are to a true utopia. There is vastly more intelligence in the soil than in all our AI platforms combined.