That's the thing, though. It always seemed to me, while reading the comic again and again in the last 8 years, that the alternate reality of Nixon using The Comedian and Doc Manhattan to stay in office and keep the rest of the world afraid of America would bring about a similar, if not worse, type of hatred from the rest of the world. Which is most obvious by the fact that, while the real Cold War was still pretty smurfing bad at times, the Cold War of the comic was much worse, in that nuclear apocalypse was inevitable, (SPOILER)the moment Doc Manhattan was taken out of the picture.
EDIT: YouTube - Saturday Morning Watchmen