Lezam,
The RF static that is being heard on the JFK frequency is definately Morse Code, I am a former amateur radio operator, and although I have long since forgotten my Morse Code, I do remember the Tempo that it useto have, and I'm sure that if someone who is more capable than I am, listens to it, they will be able to confirm what I'm saying, and somehow get the operators callsign which will help in tracking this problem.
It is probably a frequency that someone is using for CW wrongfully, because the closest frequency to JFK in the Ham Bands is the 2 meter band.
I hope you can find and correct the source, as it is a nuisance to keep hearing it, especially on the most popular link.
Thanks for trying to correct this.