Over at Serious Eats Joshua Wesson (the "Sommelier To Go") gives some helpful advice on choosing the right sort of wine to drink with your hamburger.
Yes, wine can be paired with low-brow food. Joshua Wesson also has a video segment on pairing wine and pizza, but it is less enjoyable to watch than the one about burgers.
I can still remember when I first discovered that Cabernet Sauvignon goes well with chocolate-flavored energy bars. None of my friends at the time believed me when I told them how nice this pairing was. It turns out that dry reds go well with all sorts of chocolate desserts. You don't need a dessert wine to drink with every dessert.