Logic does not dictate that. One can be good at math and become an English professor. AI's would have their own personalities, and being AI's, they can be skilled in whatever they please.
Controlling us is more direct than going around. Going around us is more like leaving.
It would be impossible. Too many variables.
Congratulations, you named a type of argument. The destruction of man wouldn't be bad, and the universe would continue. The winds of time would quickly erase the footprint we left in the sand.