It was a good, old-fashioned rumble between famous rivals and pundits Jon Stewart, 49, who hosts Comedy Central’s The Daily Show and Bill O’Reilly, 63, who helms Fox News’ The O’Reilly Factor.

Because there just aren’t enough debates in this election cycle — and because when TV on-air pundits cover presidential elections, it really is All About Them — two debates have been announced in the ...