Looks like they got the audio off of the archives here?
Nope, looks like aevins is correct. It appears that Fox News took the audio clip from here without giving Dave's site credit and they even have the audacity to publish this copyright statement at the bottom of their article with the clip, "Copyright 2008 Associated Press. All rights reserved. This material may not be published, broadcast, rewritten, or redistributed."
Consider the facts: The Fox NY audio link produces a downloaded MP3 file that is 31:44 in duration, 3,808,128 bytes in size, has an audio bitrate of 16kbps, and is tagged with the following text: "KJFK - KFK TOWER - JUL-06-2008-0030Z"
With the exception of Fox's audio clip file name (which is very easily changed), these listed file characteristics match exactly the file downloaded from LiveATC's archive.