she thinks she better establish herself around this man, probably because he makes just a little bit weak and that is scary.
I never got that impression from nuCarol. She just seemed that she didn't want anything to do with Kirk, and did not care what he thought of her. Even if this version of Kirk had the hots for Carol, there's absolutely no indication she did, or would ever, return his affections.
And yes, I am aware that quite a few real life (and also fictional) love affairs start off that way. But we can't assume that the Abrams counterparts of Kirk and Carol will end up anywhere near like their original versions will. People only think these versions of Carol and Kirk will get together because their originals did. But why should anyone assume that?