I find it almost wrong to do so, no matter how big the burger. Not wrong as in morally or ethically questionable. But it's just not the way the universe should be. Burgers should be eaten as one singular component -- two-fisted if need be.
Do you ever cut your burger in half?
Related question. What about (gasp!) a hot dog? Every cut a hot dog (in a bun) in half before eating?