Yes, the above petition actually calls for a Joe Biden reality show... after a fashion:
Vice President Joe Biden has a demonstrated ability to bring people together, whether at the negotiating table or at the neighborhood diner. We, therefore, urge the Obama Administration to authorize the production of a recurring C-SPAN television program featuring the daily activities and interactions of the Vice President with elected officials, foreign dignitaries and everyday American families.
He is so likable, funny, and often bloopery that he'd probably garner enough ratings to boost his show from CSPAN to network prime time after one measly season.
Why, it could even be called, "I'm Joe Biden!":
(I couldn't resist.)
When you think about it, there's no way a Republican good pull this off. They aren't exactly into that reality thing.
More of Biden's swearing-in one-liners here.