Kirk, Spock and the Enterprise are Star Trek
Abrams called George Takei before casting John Cho. Takei said Sulu wasn't Japanese that he was "Pan-Asian" and gave his blessing to the choice.
Spock had a relationship with a human woman six years prior to season one of TOS per "This Side of Paradise".
Why would people want Pine to do Shatner-isms? Pine's Kirk is fantastic and a breath of fresh air. Let him be his own man.