I'm sorry, but it sounds like most of you need to toughen up a bit. What trolls need is not a ban or a warning or anything of the sort. They need a better upbringing, better development of their character and core beliefs, better self-awareness and meaning in their lives. If you're up to the task to provide these things to them, then be my guest. In my opinion however, your time is much better spent focusing on yourself and the things you have control over, such as how much or little you let yourself become a victim of the trolling.
This is why the most effective methods for dealing with trolls is granting everyone the power to ignore them effectively. For example, muting chat. By ignoring the troll, you beat the troll. By being happy, you beat the troll. By not caring if you beat the troll or not, you by definition beat the troll.
If it helps, put a sticky note on the lower right corner of the screen to cover chat until /mutechat is implemented.