Saying that Kagome is the reincarnation of Kikyo doesn't mean she's supposed to be exactly like Kikyo. It just means they share the same soul. Another thing that irks me about the series is that Kikyo's and Kagome's nature are completely different. It's like they're two different people with two different souls, and that annoys me too. They're canonly reincarnations, but the story doesn't make it seem like that.
And, I'm sorry, but I really don't like Kagome and Inuyasha as a couple. To be honest, I don't like Inuyasha with anyone. He's selfish, and I think a life of solitude would do him good. But, yeah, that's just me.