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Well, since we just had Martin Sheen (who embodied Jed Bartlett) as our previous pick, it's only fair to add Charlie Sheen to our presidential rogue's gallery. While he might not make the best President, the partying Charlie Sheen would certainly be able to build rapport with the Secret Service.
Yes. I went there. And yes, this whole thing was a build-up for a Secret Service gag. Guilty as charged.
Image courtesy Aspen Police Department (seriously).