They'll have a daughter in this timeline. You read it here first! Remember me when you see it!! That's just the kind of AU twist the writers love.
As for Kirk's story, I'm reminded of an interview with Chris Pine where he said he can't imagine how they'll do a third movie after this. At the time I figured death, destruction and the fall of Earth as the trailers teased, but now I'm sure Pine was talking about what's next for Kirk after he's made the ultimate sacrifice and that he and Spock have outright declared their undying (and totally not gay) man love.