Seeing how they do not allow any electronic devices inside the conclave, it would be impossible for the NSA to electronically spy on the actual proceedings.
"...And these atomic bombs which science burst upon the world that night were strange, even to the men who used them." H. G. Wells, The World Set Free, 1914
"The one pervading evil of democracy is the tyranny of the majority, or rather of that party, not always the majority, that succeeds, by force or fraud, in carrying elections." -Lord Acton