I'm not too sure that Kakashi would suffer any damage even if he was hit with Kirin. This idea comes from the fight Sasuke had with the Raikage and others. When Darui hit Sasuke with the Wave of Inspiration, Sasuke didn't seem to be affected at all. So that should mean Sasuke wasn't affected by a lightning attack since he has an affinity for it. The same goes for when Sasuke used Chidori on Ay. They said that nothing could penetrate Ay's lightning armor, but Sasuke's hand touch Ay's skin, although it didn't penetrate the skin.
This is also presented when Sasuke attacks Killer Bee. Bee channeled electricity through one of his swords to cut the Executioner's Blade, but because Sasuke channeled electricity through the Executioner's blade, Bee's sword was stop. So that probably means lightning techniques against those with an affinity for lightning negate each other, canceling each other out.
There you go.