I think her main strenght is she can keep everyone on side, the main example being Jack and Sawyer, they both know she's playing them and can't decide but none of them really think badly of her for it.
The camp has spent a lot of the time being split, back in S1 the beach or the caves, now we're doing team Locke or Jack. In fact a lot of the show has been based on 2 sides. Somehow Kate always looks after number one and makes her own mind up without upsetting anyone.
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