The most important misconception is that people associate true intelligence with deep learning. These systems are currently limited to being extremely effective pattern recognizers. They do not exhibit anything like true human intelligence. This misconception can be amplified when the media describes neural networks at "brain-like" computers.
Although many of the people I interviewed (including, for example, Demis Hassabis of DeepMind and Ray Kurzweil at Google) are very interested in making progress toward true machine intelligence, most researchers agree that this remains a long way off.
For now, DL systems can do very specific things with amazing proficiency -- but they are not "thinking" like people.