Personally I wouldn't discuss and point to much as if you keep on declaring the same person as Klein you are letting everyone else know the two clues. Remember you win if you survive and can guess who Klein is correctly, including Klein himself. It is a semi-coop game remember and YOU need to survive to win!
We had a game where I gave a false clue to someone at the beginning because they had the clue I just looked at and didn't trust them to not be Klein so early on. She actually ended up being Klein. We all died in the last act but she managed to survive but guessed the wrong person because of my dirty lie at the start of the game so we all lost and it was great fun because of this. If we all starting pointing the finger at her then she would have tried to look at the clues more and Klein would have won. Knowledge is power and in this game it could be the difference between life and death!
I've only played a couple of times, but so far it seems to me that if everyone knows who Klein is, even the Klein player, Klein will lose. Trust is very powerful in this game. If two or more players know that they can completely trust each other, it's very easy for them to share information, even with the communication restriction (unless I have the table talk rule incorrect, which I talk about in another thread).
Once the non-Klein players really work together with complete trust, sharing information, they can more quickly narrow down where the lairs are.
So I would say that if a non-Klein player discovers who Klein is, they give everyone more of a chance of survival by yelling out the name of the killer. Even if Klein is listening.