Sent to me by Michael and noted by Jon, the UK's Sunday Mirror is reporting that Iraqi soldiers have already begun to surrender:

Terrified Iraqi soldiers have crossed the Kuwait border and tried to surrender to British forces--because they thought the war had already started. [...] The stunned Paras from 16 Air Assault Brigade were forced to tell the Iraqis they were not firing at them, and ordered them back to their home country telling them it was too early to surrender.

It's both funny and sad. I hope these guys do the sensible thing when the shooting really does start; Saddam's not worth dying for.