No, the dove is not alive. I actually found it frozen in this state in my backyard and had initially thought it was alive (and perhaps just sick, because normally the doves in my yard will fly as soon as I open the door). This poor little guy must have been sick and died during the night though. I'm not entirely sure what caused his death though unfortunately.
poor little guy, life's hard for the wild doves. We have some that hang around our hose, and the hawks often get them, but at least the wild doves usually manage to steal a few good meals from our pigeons.