That's highly unlikely. The "Historical Genealogy Library" to which you refer is the same one owned and operated by the Mormons, and the vast majority of the Family History Library's records are for "persons born before 1930," which is the current standard in genealogy records, for obvious reasons. You can search the FH Library online here. About all you'll come up with for Kenya are maps of Nairobi.
The FH Library does have records which are not accessible to the general public, due to restrictions placed on them by the donor/government involved, but those items, databases or collections would also be listed in the catalog, and marked accordingly.
African-American genealogy is the newest marketing push by Ancestry (which dominates the online market), but you'll find from just a quick glance at most AA sites that most, if not all, of the records available are American in origin. There is a general lack of African records across the board.
Finally, if the FH Library had such records, they would have been found by researchers for Hillary or McCain (with the help of Romney, who would certainly carry some influence with the FHC).
Substance of the post was that the British Administration period records had been removed to London; that copies were in a Historical Library in Salt Lake City--and the poster names the library; and suggests that another Mormon site in Salt Lake also has copies.
Obviously, the post may have been incorrect although the story seems plausible. If we did locate a reliable report that such fiche records were in fact in Salt Lake City, an effort could be made with the administrators of the custodian to reach the substance.
I don't put much weight on the "someone else would have done it" analysis. For the most part, I rate only the Clinton's and guys running the Ron Paul campaign as sophisticated enough to appreciate the significance of the legal defect in Obama's position.
And the Clinton's may in fact have reached the evidence and are holding it for the convention or for some other purpose. That is possible. I would prefer to try to get to it myself.
Does anyone have a list of the various Genealogy research library's in Salt Lake City that might be the one referred to in the earlier post?