This war is over. I've been getting firsthand info from Tripoli/rebel commanders throughout, so here's my summary of events based on that and verified media reports. I'm not trying to BS you, I'm only giving you information that I can personally say that I can verify as true. You can choose to believe me, or you can choose to believe, uhh, ahem, Russia Today. I think when we look back after events are objectively clear, that my account is more accurate and the above posted videos are utter nonsense.
About 30-40 hours ago, rebel groups throughout Tripoli started attacking the security forces and trying to seize important buildings after the prearranged "Go" signal at the end of prayers. I've subsequently learned about a lot of the planning behind the operation; the rebels were able to smuggle thousands of weapons into the city. The rising went well at first (quickly capturing the international airport, most of the military airport, freeing thousands of prisoners), and most of the security forces melted away when challenged, a lot of them were drunk when captured. But about 20 hours after the start, Qadaffi's last counterattack was going hard as his diehard loyal units with heavy weapons started attacking rebel-held neighborhoods, and the Tripoli rebels were low on ammo, with hundreds of rebel supporters and civilians killed (its hard to tell who is what exactly; the rebels had lots of unarmed sympathizers doing support tasks like building roadblocks, etc. or generally going out into the street to chant and wave flags and, you know, uselessly get in the way of bullets). With NATO support though, the Qadaffi forces were not able to make meaningful gains, just kill people. By this time, the rebels outside the city, lead by units from Kikla and Gheryan, entered the city first in a trickle then in a wave. Also, a rebel "special forces" unit of about 200 men, from Benghazi, trained by the Qataris, landed on the coast and moved into the city center. The heaviest fighting of the whole thing took place in Tajoura neighborhood, as remnants of the Khamis Brigade with about 15 tanks tried to flee al Khums and enter Tripoli to put down the rebellion. Apparently NATO destroyed the armord column. There was also heavy fighting around Tripoli Zoo, where lots of Qadaffi men were stationed (a group of armed civilians unwisely attacked, suffered a lot of losses), and in the Hay al Andalus neighborhood, with sharp fighting around an unfinished Sheraton Hotel complex on the coast.
The fighting is almost all over now though. Once rebels started streaming into the city from Zawiya, and from the south, resistance totally crumbled. On the way in, they captured the HQ of the Khamis Brigade, after a short fight. The homes of the Qadaffi family have been captured. There's been lots of live images of the rebels celebrating in Green Square in the center of the city. Apparently they haven't yet entered into the Rixos Hotel with the journalists.
The NTC is claiming that they captured Saif and Saadi Qadaffi, and that has been confirmed by the UK Envoy to Benghazi, so I'd say it's true. The Libyan State TV building is in rebel control but somehow the channel is still broadcasting. Qaddafi's still broadcasting speeches, saying that a million people will march on Tripoli to free it, etc. etc.