It's best to just keep away from TC areas unless you're taking part in them.
I'm not attacking you, but you need to understand, for TC people tend to take better gear, so they're on edge and cautious and will shoot anything that isn't a friend because if that person is a threat then it could seriously fuck up their plans.
It would be nice to be able to watch TC as it happens, but I don't think that'll ever happen in game.
You can still watch videos if they're uploaded by other people, but if there was a "real time spectator" sort of deal for TC, the factions would have a few people watching, acting as security cameras using team speak or something else.