the DSM definition:
A) There is a pervasive pattern of disregard for and violation of the rights of others occurring since age 15 years, as indicated by three or more of the following::
failure to conform to social norms with respect to lawful behaviors as indicated by repeatedly performing acts that are grounds for arrest;
deception, as indicated by repeatedly lying, use of aliases, or conning others for personal profit or pleasure;
impulsivity or failure to plan ahead;
irritability and aggressiveness, as indicated by repeated physical fights or assaults;
reckless disregard for safety of self or others;
consistent irresponsibility, as indicated by repeated failure to sustain consistent work behavior or honor financial obligations;
lack of remorse, as indicated by being indifferent to or rationalizing having hurt, mistreated, or stolen from another;
B) The individual is at least age 18 years.
C) There is evidence of conduct disorder with onset before age 15 years.
D) The occurrence of antisocial behavior is not exclusively during the course of schizophrenia or a manic episode.
Kurt Kobain
Arguably one of the most aggressive singers from 90s pop music culture.
http://www.youtube.com/watch?v=JCGvONbVCa0
A history of conduct disorder and violence, following his parents divorce. Most likely irresponsible, irritable, arrested for vandalism, trespassing while intoxicated, potentially impulsive and a harm to himself with reckless drug abuse behavior and eventual suicide. So he meets 4 or 5 of the criteria. He has a history of conduct disorder in the school systems.

http://en.wikipedia.org/wiki/Kurt_Cobain
When Cobain was seven years old, his parents divorced.[13] Later in his life, he said the divorce had a profound effect on his life. His mother noted that his personality changed dramatically; Cobain became defiant and withdrawn.
Kurt behaved insolently toward adults. He began bullying another boy at school. These behaviors eventually caused his father and Westeby to take him to a therapist, who concluded that Kurt would benefit in a single family environment.
Cobain's teenage rebellion quickly became overwhelming for his father, who placed Kurt in the care of family and friends.
Cobain was detoxed unsuccessfully many times by questionable physicians in the now-infamous celebrity detox programs in posh hotels before relapsing and dying of a drug overdose and self-inflicted gunshot in 1994.[84]
Mention of his criminal activity.
http://www.thesmokinggun.com/mugshots/c ... urt-cobain

Kurt Cobain was arrested by Aberdeen, Washington police in May 1986 and charged with trespassing while intoxicated. The misdemeanor bust was not the Nirvana founder's first brush with the law. The musician had been arrested in Aberdeen a year earlier on a vandalism count.
So probably not a huge threat to society in concrete terms, however one might suggest he spawned or influenced a generation with rebellion or anti social behavior.