So, inspired by this video: http://www.youtube.com/watch?v=VK1Jo2GP5Z4 I decided to see if I can use only Calibur charges to solo the new JK. Here is the proof that you can do it: http://www.youtube.com/watch?v=rSiAVB1i-Cg
I had a lot of lag during the fight so it wasn't my best performance, nevertheless I managed to do it without any deaths and in 2:30 minutes.

Here is my gear used:
Ascended Calibur Level 10
Shadow Driver Level 9 (did not use in the boss fight)
Prismatech Alchemer Mk II Level 7 (did not use in the boss fight)
Ash Tail Cap Level 10
Ash Tail Coat Level 10
Twisted Targe Level 7

Please ignore that big banner saying 'dxtory.com', it was a trial version and I wanted to see how it fares.