Not counting gods and obvious aliens, Kirk only ever received three visitors from ancient Earth IIRC: Khan, Captain Christopher, and Abraham Lincoln.
Kirk viewed all three with admiration of sorts, giving guided tours and all. He fully acknowledged the potential threat posed by Khan and Lincoln, though, finding both too good to be true from the get-go and having plenty of data on the savagery of old Earth even if these people turned out to be who they claimed to be. And he never was under too many illusions about Christopher.
Giving guided tours was Kirk's way with every visitor, friend or foe. Sometimes he used those to tactical advantage, such as in "Conscience of the King". His downright courteous behavior should never be mistaken for him being blue-eyed (that's the other Jim Kirk!), and he probably never needed to be told that his guest was a potential aggressor with some limited skill in bladed weapons but less in combat anatomy.
Timo Saloniemi