This is so out of character.

Kyonko has her own independent character from Kyon? It certainly fits Kyon's character.

Kyon trying to force Nagato to smile? What part of that is in character?

It's a bit too cheerful for Kyon, I think. It seems more like something Haruhi would do.

Hm yeah it's something Kyon would think about but not actually do but I don't think it's way out there for him to do.