fly in the face

fly in the face of sth (to completely oppose, or be completely opposite to, something that most people believe or accept; to oppose or be the opposite of something that is usual or expected) — бросать вызов; решительно противоречить, открыто не повиноваться, идти вразрез;
~ не считаться с кем-л.

fly in the face of common sense — противоречить здравому смыслу; идти вразрез со здравым смыслом

Example: Such a proposal is flying in the face of common sense. (OALD)

fly in the face of public opinion — идти вразрез с общественным мнением

Example: Flying in the face of public opinion, the local authority has approved the demolition of the old theatre. (MM)

fly in the face of reality — противоречить реальности, идти в разрез с действительностью, реальностью, раелным положением вещей

Example: What's going on here? Are adults simply "misinformed" about the lives and attitudes of today's youth? Where are we getting the views that fly in the face of reality? What accounts for a distortion so powerful that it reconfigures the facts to fit the negative stereotypes? (MM)

fly in the face of authority (to defy authority)

Example 1: When I was a kid, I used to fly in the face of authority as an unconscious reaction to the way I had been mistreated and abused. (DH)

Example 2: When Muhammad Ali stepped into the professional boxing ring in 1960, he changed the sport forever. No one had seen a heavyweight fighter with such speed and grace, nor heard one that spoke like a poet. And no one expected him to fly in the face of authority and risk everything for his beliefs. This book paints a detailed portrait of his life through the eyes of his family, friends, trainers and opponents.

fly in the face of Providence // quarrel with Providence — искушать судьбу, роптать на судьбу

Some more examples:
"First impressions matter when you want to build a lasting trust," said study researcher Robert Lount. "If you get off on the wrong foot, the relationship may never be completely right again." Lount said the results fly in the face of Hollywood's portrayal of characters who don't get along at first but end up developing a passionate relationship. "The likelihood of that happening in real life is pretty low," he said. "Rather, a negative first impression can last a lifetime."

Example: Sure, teachers may have lots of information, but that does not mean their information is accurate, complete, or free from bias. In fact, there's plenty of research to indicate that teachers are plagued by blind spots and biases. To justify doing away with formal testing, you'd have to show that all teachers (not just the best) can reliably maintain an accurate, up-to-date, precise, complete and unbiased record of each pupil's progress and difficulties without conducting reasonably frequent systematic tests. Since that would fly in the face of mountains of evidence already obtained about teacher's knowledge oftheir pupils, I think you would find that a very difficult task. (discussion.theguardian.com)