At the same time, depending on their tolerance for risk, some people could fairly determine that it is NOT safe to go to New York City. The crime rate may not be higher overall than in Traverse City, Michigan, but I'll bet you the crime rate AGAINST TOURISTS is indeed higher, because there are a lot more people there to take advantage of tourists. People who are fearful of going there are more likely to be unfairly targeted.
My first job in NYC (Worldwide Plaza 48th/8th) was in the early 90s before Guiliani got hold of the city. During my travels to and from the office, I was constantly amazed by the number of people who stepped straight from the Times Square Marriott with their pale legs sticking out of their pleated Khaki shorts (look completed by madras shirt and fake leather 'bum bag' containing wallet, room keys and passport) then proceeded to unfold a map right on the corner of 8th Avenue and 43rd Street.
It was the urban equivalent of a herd of zebras walking past the lions on the way to the watering hole.
So a more accurate comment might be the CRIME RATE against IDIOTS from out-of-town are high in NYC.
I lived there from 1989-1992 without a breath of trouble for me or my out of town house guests. The advice I gave them is only slight less important today... Wear black. Get a cool pair of sunglasses. Don't ask too many questions on the Subway. Figure out where you're going before you leave your accommodations and they'll think you're one of the locals.
As far as politics goes, I turned down the opportunity to start a business with a guy simply because he got too much of his information from the Drudge Report.
You can't be too careful.