If they actually bring the time passed in the next one(It will be 7 years by release date) that is enough time for Kirk to have matured as a leader and Spock to have purged some of his more excessive emotions and on the road to pure or nearly pure logic.
Er, why does
any of that have to happen? This is an entirely different universe here. Just because we saw Spock prime going through Kolinahr in TMP doesn't mean jack now. For all we know nuSpock will be far more emotional than his counterpart, who didn't have to deal with his entire planet being destroyed and his people made almost extinct, ya know?
Even in the Prime universe, Spock discovered Kolinahr, or pure logic, wasn't the answer for him. Spock's entire character arc throughout the movies was a growing acceptance of his human side and its attributes, including emotions and emotional attachments to people (friends). I'd actually find it likely Spock goes in this direction faster in the new universe.
Remember, Spock's last words on the big screen before ST09 were, "If I were human, I believe my response would be, go to hell.
If I were human." Someone dedicated to pure logic and no emotion doesn't say he feels like telling Starfleet to basically f-off.