I do find it a little funny that they placed it to the music they did and didn't use the in game music or audio, but I guess that isn't what they were trying to show case here. Can't let something like that dissuade you from the awesome parkour, combat, and stealthy things going on in the video. Give it a good watch and judge for yourself though.
Just in case you forgot, Assassin's Creed 2 is rolling out this November for PC, XBox, and PS3. So very stoked for this game. Bring on the assassinations!