Attorney General Kennedy and his brother Jack, the President of the United States, when they took office in 1961, saw organized crime as one of the biggest threats to national security and the Rule of Law in America. Their Director of the FBI, J. Edgar Hoover, didn't even acknowledge organized crime as a problem in America. The brothers launched a campaign that was so effective that it put corrupt union bosses like Jimmy Hoffa in prison.
I believe that the real legacy of Robert Kennedy is the bringing down of organized crime and the reduction of its impact on the United States. This, along with his very effective work in the civil right movement was the early product of what would've been a brilliant career in public service had the man not of been assassinated in 1968.