AI running human government is a Hollywood/sf fantasy, it's not something desirable within any real foreseeable future. Today technocratic governments are rejected and there is a very long tail of working out what people need that can't be determined by logical rules. It would be dangerous to go down that path because some 1950s book suggested it to us and a certain level of society went along with it. So the danger is human choice, not AI.

It is also a choice in how to give control to AI, but the species is not likely to survive an event like heat death without strong AI.