> Many professors are independent-minded — especially in math, the hard sciences, and engineering, where you have to be to succeed.
And I disagree with it. You don't have to be independent-minded (from the group) to be "average" successful. Quite the opposite.
Follow the lead, follow the procedures, always take the skeptical side and you'll just coast through it. A lot of people succeed doing exactly that.
Research? Take the latest papers in an area, try a similar research (nothing too out of the consensus) and write a grant request for it.
The hard nonconformists, those will have a hard time. And the sad part is that most of them won't be nonconformists "for good reasons" but rather they will be most likely quacks. And I say the percentage is high exactly because academia does not favor anything out of the beaten path and independent thought is shunned.