For headcanon purposes, I have trouble believing that the American president would visit a Foundation Site to start with, given how many immense and visible red flags that would send up. (I didn't detect any signs that this was set in some broken-veil type canon or anything, so I'm presuming that the Foundation is still tentatively interested in secrecy of some kind.) I mean, the number of untrained individuals without any security clearance who see the President's itinerary, even a falsified one, is far more people than the Foundation is comfortable with being involved in this kind of thing. Even with cover stories, falsified documents, whatever, there's still an enormous, trackable paper trail, and for no real purpose that I can envision that couldn't be carried out by secret meetings at the White House. The Foundation isn't a government operation; the President has neither an obligation to supervise Foundation operations, nor any authority to do anything once he's supervised it.
That's the most unrealistic part. The part where the President is secretly a member of an anomalous art cabal is the second most unrealistic part, and the part where the secret member of an anomalous art cabal admitted to being a member of an anomalous art cabal to a random researcher as a random aside is the third most unrealistic part. Beyond the issues of unrealism, the writing is pretty off; you have a "redacted" personal log (redactions can irritate me regardless, especially in places where the OOC writing would be better without the IC redactions) that still includes extraneous details about the coffee machine (that still don't make sense; what doctor goes to another doctor to complain about the coffee machine?)
I don't get a whole lot of feeling of personhood from the Dr. Jackson character; he feels like someone who exists to continue the plot, rather than someone with motivation and reasonings and personhood of his own. In essence, I have trouble believing the setup and premise of the story, I have trouble believing the course of events of the story, and I don't particularly care for the fashion in which the story is described. I'm not sure how it can be improved, per se. I would suggest working out the details of the character, working out how to depict the character in a more realistic fashion, and doing a new story from the ground up. In any story like this, you have the layer of the story itself, and then you have the layer of the character describing the story, and both have to be handled carefully and separately.