@Brandon9000,
Who could be surprised that lying to the FBI during an official investigation is a crime?
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After they interview you for days and even if you are as innocent as the Virgin Mary of having sex would you wish to bet that they can find some reason/excuse for charging you with lying to them over some statements of your?
As you are under no obligation to tell then even your opinion of the weather why in the hell would anyone be dumb enough to talk to them and open that can of worms?
But if you happen to trust the FBI, with their known history of abusing their police powers, that in a high profile case where if they did not make an arrest they would look like fools not to do so be my guest.
In fact if is never a good idea innocent or not to allow yourself to be interview by the police for many reasons if they are looking at possibly charging you with a crime. There is a great youtube video with a law professor and a police officer that go over the reasons why it is never a good idea to talk to the police in such a situation. Sorry but I do not have the link at the moment to this video.