The New York Times was simply repeating an error which went into circulation for awhile. The actual transcript of the ABC report which started it all is reproduced here

http://911myths.com/html/dancing_israelis.html

with the direct reporting from "Maria":

-----
(VO) On the morning of September 11th, Maria--who asked us not to use her last name--was home preparing for her day, when she got a call from a friend who lived upstairs in the same New Jersey high-rise.

MARIA: She was sitting when she heard a noise, at the same time she felt like it--it shook--like the building shook, she said. She called me immediately. She said, 'You know, there's--there's something wrong, look at your window by the twin towers.' So I grab my binoculars and I could see the towers from my window.
And this is where I, you know, I'm looking. I saw the smoke from the top, just from the top of the towers.

MILLER: (VO) After watching for a little while, something caught Maria's at-tention in the parking lot below her window.

MARIA: Like a few minutes must have gone on, and all of a sudden down there I see this van park. And I see three guys on top of the van, and I'm trying, you know, to look at the building but what caught my attention, they seemed to be taking a movie.
-----

The van parked after the whole thing had started already. That comes straight from the original source of the story. You're just recycling bits of misinformation which cropped up in the media because of the hectic nature of that day. The rumor that they had gotten there before it started circulated in a few stories and then died when Maria's original report was checked again. You can go on quoting the misreports and ignoring Maria's actual statements, but it doesn't make you sound very bright.