The mood here is very gloomy. Back when they kicked out Ben Ali and Mubarak there was celebration on HN. I guess you're not really a dictator unless you're an ally of the US, huh?
The issue isn't that anyone sympathizes with Gadaffi, but that it calls into question the solidarity and stability of the rebel government. Until now, Libyans have been united by their hatred of Gadaffi but we haven't seen whether the government can pull Libya together in a post-Gadaffi nation or really what kind of government or society will emerge. This execution was an action by Libyans with guns against the express will of the nominal government (which wanted to try him first.) It's a bad omen.
Or the same Qaddafi that provided the `special questioning` facilities when the British secret service sent the current democratic leader there to be interrogated about terrorist links.