Thing about Cheney is that he also would probably cheat. The entire thing would go on for, like, five chapters, and finally, after the part where Cheney shoots Koizumi, the half-dead Prime Minister slowly gets back up after being shot in the face, finally about to place the final tile...
Cheney shoots him again. And again. And again, all while making psychotic faces and laughing maniacally, something he'd have been doing the entire match while making snarky and violent remarks.
But Koizumi will not be put down so easily, he gets back up again and attempts to place the tile...
Which merely prompts Cheney to get out his shotgun, blowing a huge hole in Koizumi's chest and eventually blasting his arm off, too. Some of these shots miss Koizumi and fell most of his remaining staff.
When the smoke clears, Koizumi was finally able to make his winning move. Cheney goes berserk and kills his bodyguards (most of whom were dead anyway from random, violent actions he took throughout the match for no particular reason) and storms back to America, butthurt. Koizumi gets an immensely badass death and everyone praises him.