Possible holes? You think? Flight school arrests

"Federal officials have arrested dozens of alleged illegal immigrants connected to a flight school in Stow, including the school’s owner and students who received US government clearance to train as pilots despite strict security controls put into place after the Sept. 11, 2001, terrorist attacks.

The arrests of 34 Brazilian nationals that began in July and concluded quietly last month raise troubling new questions about possible holes in the government’s antiterrorism security net, which bans illegal immigrants from taking flight lessons and requires background checks on any foreigner training to fly in the United States.
Flight school arrests raise terrorism fears - The Boston Globe

TSA seems to be pretty good at making little old ladies take off their shoes and men their belts, but do a background check on a foreigner wanting to learn to fly a small plane? Wouldn't that be profiling? Even the owner of the flight school wasn't here legally.