It could have been prevented using the tail camera (provided they have one and the PF was actually looking at it, and not at the nose wheel cam screen, provided they have one too).
If this is the same one that SLF can use, from memory from my trip on an EK one, you still can't see the wing tips
He cleared AF for taxiway A but did alert him to look out for other traffic, and to hold short at ....
Applying blame here I would say 50% AF PIC, 50% ATC.
I did listen to the audio and went to the trouble of finding a chart for JFK. AF was cleared to taxy along A and hold short at E for a 22R departure. Next call was to hold at KD for opposite direction traffic. Accident actually happened at the junction of A and M, well before that, so there was no call from ATC to warn about the CRJ. I would assume that is because ATC had not been informed that there was a problem
Taxiway chart here to help
http://204.108.4.16/d-tpp/1104/00610AD.PDF
Weather around the time
KJFK 120051Z 19013KT 9SM BKN250 12/10 A2958=
KJFK 112351Z VRB03KT 7SM CLR BKN250 12/10 A2957=
KJFK 112351Z COR VRB03KT 7SM FEW100 BKN250 12/10 A2957=
KJFK 112251Z 20013KT 7SM FEW045 SCT130 BKN250 12/10 A2957=
KJFK 112151Z 19011G18KT 7SM FEW045 SCT130 BKN250 14/11 A2958=
Suzeman