A PHOTOSHOPPED picture of Sarah Palin has been doing the rounds for the past few days; it shows her in a stars and stripes bikini toting a rifle — patriotism, hunting and cheesecake all combined in one image. But this cartoon-like depiction of her smothers what we need to understand about why Palin appeals to American voters and why American elections have been so deadlocked for the past decade, as if there were two Americas, doomed to lived on the same landmass under the same government, like hopelessly incompatible spouses.

So clear is the divide between big-city and small-town America that one American friend said to me: “These whitebread Republicans are like children — someone has to tell them what to do and what to think, they’re incapable of independent ideas.”

The conviction by the left that the right is stupid is one of the defining and least attractive characteristics of contemporary politics. Assuming that anyone who disagrees with you is too dim to get your point is not itself a particularly brainy way to win others over to the essential correctness of your views. But it is true that to small-town Republicans the world is not a complicated place, because they have seen so little of it.

I asked a sophisticated and well-traveled Republican why he voted the way he did. He described growing up “dirt poor” in a small town in Northern California where joining the military was your sole ticket out. For him, joining the army led directly to an education. In fact, it led all the way to Princeton. But how, I asked him, baffled, could someone as intelligent as he is believe that George W Bush was anything but a cretin?

Because, he explained, people in small towns don’t like or trust intellectuals, particularly ones who appear to be sneering at them for their supposed stupidity. They admire a plain-speaking man; it’s what they know and what they are used to. They always assumed Bush was a regular guy who could keep his thoughts concise.

So America is stuck. Two countries, mutually irreconcilable, who never meet each other and don’t want to, either. Who distrust each other at best, despise each other at worst. And who have absolutely no understanding of the other.

The problem is that when they’re running the whole country, they want to take away abortion rights, drill for oil in Alaska (a Palin policy), ignore climate change, and start unwinnable wars. With the small-town Republican mindset in charge, the rest of America and the rest of the world is forced to live by small-town values, which aren’t much help when you’re trying to decide what, if anything, can be done about Iranian nuclear ambitions or more humbly, workplace date rape. Can America survive another photo-finish election which the Republicans win, or will it be out and out war between the red and the blue states? Perhaps only small-town America itself can prevent it, such as the dental nurse who asked how the mother of five kids, one with Down’s syndrome, could hold down a full-time job, one step from running the United States. Sarah Palin, bad mom. That might finish her.