Instagram/Stephen Colbert & Jimmy K TV Stephen Colbert passes his Iran war jokes to Jimmy Kimmel in a hilarious bit, hinting at his own Late Show exit amid the U.S.-Iran ceasefire. April 23, 2026 AceShowbiz - Stephen Colbert highlighted the impending conclusion of his tenure on The Late Show during his Wednesday monologue by humorously handing off his Iran war jokes to fellow late-night host Jimmy Kimmel. The comedic bit unfolded at the start of Wednesday's episode of The Late Show, where Colbert tackled recent developments in the Iran conflict.