That is not possible while the parade is on because your on the wrong side of Pennsylvania Ave. and they will NOT let you cross the street.
Kristinn mentioned in a previous post that he will stake out the standing room area of the inaguration and post a potential location for Freepers to gather.
Sooo...if I go to the Inauguration, they won't let me get back to my hotel?! How long do the security precautions last?
On the House side of the Capitol are the Capitol South, Federal Center and L'Enfant Plaza Metro stations.
On the Senate side, if they won't let you get to Union Station or cross to the north side of Pennsylvania Avenue, use the aforementioned Metro stations to get to the Gallery Place/ MCI Center Metro station and walk down 7th Street to the American Sectors.