It's no surprise Kirk is emotionally compromised plus it does not help that he's only been a Starfleet officer for a year or so. Would have been cool to see Spock take command because of Kirk being too emotionally compromised or perhaps even out of his league.
But I do wonder just how big of a father figure Pike was to Kirk.
I would imagine Pike had become something of a father/mentor to the degree where Kirk did grow to see him as the father he never had. Kirk's grief is palpable during Pike's death scene. You can see that anger, confusion, and loss just pouring out of him. It's also nice to note that Bruce Greenwood was just perfectly apt in his role, and expressed that fatherly trait with aplomb.
Yes! Had Pike been in more scenes, Greenwood might have stolen ST09.