Chart 8.38 confirms that the overall use of deictic pointers for pointing here is stronger than pointing away. That said, if both pronouns I and you are removed from that calculation, I being very strong with 21 instances of use, we arrive at a reversed picture, where pointing away is stronger, mainly due to the pervasive use of that and those.
Overall, Obama presents a very well built argument, using references, conceptual metaphors and the appeal to American values to his advantage. That said, his insecurity shows when he uses I to build his own confidence or that to distance himself from the conflict he is proposing to solve. As for the style of the speech, while no specific features can be critiqued as incorrect or unsuitable, it is difficult to characterize his style. Nonetheless, the speech gives the impression of being politically correct but lacking genuineness.