And indeed, if Rush did say it, he is on to something.
These (reports) in fact as you well know do exist; they are collected, vetted, constructed, reviewed, finalized and updated by nearly ever country's foreign intelligence apparatus, some VERY sophisticated and others more or less educated guesses and/or off the mark.
The most fruitful and thought-provokking, in my mind, would be within the files of (among the top seven or so ranked) the ha-Mossad le-Modiin u-le-Tafkidim Myukhadim, the FSB, the SIS (MI-6), the 内閣情報調査室 here in Japan, the RAW, the NIS, Ministry of State Security, etc. etc.
For a certain price one of these internal documents containing the psychological profile of Obama could be as an embarrassment leaked to the right people in the American press (certain reliable sources within the US press, I would add, which would account for, well maybe no more than 10%.)
The rest, 90%, would "spike" such a foreign intelligence agency dossier with professional foreign psych profiles on Obama and his propensity to crack under extreme pressure and inability to lead a large organization, personality weaknesses, indecisiveness, tendency to try to over-please, narcissm, anti-White chips on the shoulder, etc. etc., because of their liberal agenda of being in support of him. I imagine at an opportune time it will come out, particularly if and when Obongo's domestic poll numbers go any further south, and he decides to screw any of the above countries. Particularly Israel. I would expect it to come out from there more-so than anywhere. And it wouldnt come a day early in my book.
I have already seen Japanese popular books out by deeply experienced America-watchers, as early as six months ago, making references to Obama's mental unfitness for the job of Presidency. I have read these in Japanese. To my knowledge, nobody has rendered them into English (yet).