Jane went about it in the worst possible way. Even though Kenny has lashed out at Clem in the tent she was the only one that Kenny confined in. I seriously doubt that Clem was in any danger around Kenny as she's the only person he listened to. No, Jane would have no conceded. She pushed Kenny into his violent outburst undoing Clem's attempt to disfuse the situation.
I disagree with Kenny destroying the group. The group's own fear did them in. Bonnie completely turns on Clem after Luke dies which was bull as it was her fault that he ended up dying. Clem was the only one that even tried to save him. They made the decision to abandon everyone when they were sleeping after Kenny fixed the truck.
Jane is not more innocent. She left her sister behind to the walkers. Encouraged Clem to do the same with Sarah. Honestly, much of her motivation is completely selfish wanting Clem to herself.