Perhaps, it didn't start out as a conspiracy. It's entirely possible that BHO, acting alone, chose to falsify his “natural born” citizen status.
However, as this drags on, more and more people are at least guilty of willful nonfeasance, for insisting on a proper vetting. These people aren't “conspirators”; but, they could be enabling a conspiracy.
Of course, if BHO is actually qualified for his Office, then there has been no conspiracy — unless, it's a conspiracy to play rope-a-dope with the “birthers”.
The release of one, simple, original government-issued document would settle the matter.