Go ahead, make fun of it.
I was working for one of the alphabet networks in their news division the morning this story broke, and was immersed in it for several weeks.
If you think the sketch is inaccurate, go back and look at some of the sketches of the Unabomber and at contemporary photos of Ted Kacynski (sp?).
John Doe #2 was originally identified as a possible Hispanic, then perhaps of Arabic or Middle Eastern descent, then the story faded.
Of particular note is that the government, the Clinton Administration went to great lengths to disassociate the events in OKC from the Arab world.
Pick up a copy of "American Jihad", and read how one of the most hostile Radical Islam cells in the country was meeting in OKC before- and after- the OKC bombing...
Obviously this does not mean it was not the same guy. The drawing does not match and that would have to be overcome. We all look somewhat alike.