A 45-year-old Chinese woman, Xu Ting, lives in a brown shingle house with a weedy driveway. She has been sued for counterfeiting by eight luxury brands, including Gucci and Louis Vuitton, and owes Chanel Inc. $6.9 million in damages. None of this has stopped her from becoming a legal permanent resident of the United States and achieving a comfortable suburban life. . . . . Xu Ting's legal troubles did not prevent her from getting a green card. In February 2014, she became a legal permanent resident by virtue of being married to someone with an advanced degree or "extraordinary...