Whether it was the Chief Justice's nervousness (it was his first Presidential oath of office, too), or the President-Elect's nervousness, I don't think he spoke the first part of the oath.
Now, do we have a leader? Yeah. But I'll make you a bet there's going to be a very quiet ducking into a small room in the Capitol, where he'll recite the oath again in its entirety.
In the meantime, the conspiracy kooks can decide whether "Bush's Chief Justice" intentionally screwed it up, whether Bush is still President, or whether Dick Cheney masterminded all of this from his wheelchair.