LS Bastila Battle meditation have nothing to do with resists. JKR provides Tenacity Up buff for one turn as part of his leadership. And GMY also will usually go early and spread Tenacity Up.
With your squad you hardly have a chance, JKR is the bane of generic Empire teams. If you want to be successful against him on regular basis you need some toon with mass dispel, like already mentioned Piett or Darth Sion, as well as some bait for JKR (like tanky Nihilus or Traya) to be sure you you won't lose important toons right from the start.
Also your mods is really need much work as already mentioned.
