Wait!
*facepalm*
I just remembered/realized something.
What if Kleene is Chianti or Korn!?
What if she WANTS to be lynched, so she can injure someone in the process!?
Here's what could have happened: BO finds out about the xpon plot (it's pretty obvious by now that someone in their group was BO because of the APTXing). Someone else is Gin, and they slander Kleene. Then Anokata blames Kleene for Slandering herself.
Normally everyone would be: "OMG LYNCH KLEENE SHE IS BO!

"
But somehow Yurikochan slipped up and people were like, "OMG YURIKOCHAN IS BOURBON, THAT'S EVEN MORE DANGEROUS! LYNCH YURIKOCHAN!"
Then Kleene and the BO panicked because they were like, "NUUUU OUR PLANSSSSSSS!" So they told everyone to lynch Kleene instead of Yurikochan!
Granted, that doesn't explain DT's "I Identified Kleene = Gin on Night 1!" (Nothing does, really.)
But I think it would not be a good idea to lynch Kleene.
For the sake of sanity, someone arrest Kleene! Arrest her for Slandering herself on Night 2. Or, if you really want to be sure that she is BO,
Arrest her for killing meme on Night 2! If the information is correct and Edo killed PT, then it would make sense that Kleene, the sacrifice, would have done the killing on Night 2!