If I may play the devil's advocate for a moment; I know I opened this topic and I hope any Trem newbie that reads it may find it useful. So imagining the opposite side may contribute as well.
The answer to moose's question may seem obvious, it's The Right Thing to do... until you recall that sometimes when you're in the middle of a game and someone or something bothers you, you tend to lash out. I don't know about others but I certainly hope they still play Trem with enough passion that this kind of thing still happens at least occasionally. It's a natural reaction.
At the beginning of a game when I go out naked as a human and get killed, I go "damn". I feed a few more times until I manage to get some armor and a shotgun and every time I go "damn it!" Then as the game advances you get so caught in it that sometimes it's hard to contain the feelings.
If it's a particularly sensitive moment (base under rush or 30 seconds to SD) and a noob decides it would be a great moment to fire at a turret or decon something... I know I would at least scream "you bloody stupid idiot!" at the screen. Usually I follow with broadcasting "DON'T DO THAT" and I understand at the logical level that he's probably new, bored, in a game whose subtleties he doesn't understand, and most likely has no idea he's doing something deeply frustrating.
But at the emotional level, and things are hectic, you're high on adrenaline, and if you're an admin... for some people it may be very easy to just kick him on impulse.
I heard that Trem has the ability to freeze a game. It would be a wonderful opportunity for such a situation. Freeze everything, say what happened, tell the person what they did wrong, warn them, undo the damage etc. Then, if they persist, kick them. I've seen servers where admins do such things behind the scene and from a player's point of view it was wonderful, the bad thing was reverted in a matter of seconds, the newbie was told off and hopefully understood he did a wrong thing.