It's unlikely that a single AI system or application could ever be so powerful as to take over the world. No, AI will not take over the world. Movies like Me, Robot are sci-fi, with an emphasis on the word fiction. The list of jobs that Artificial Intelligence will take on is extensive and includes tasks that were previously considered exclusively human, such as writing, journalism, graphic design and law.
Even jobs that require creativity and critical thinking are vulnerable to being taken over by AI.