
As someone who's run an academy-style guild (a mutant school, no less, in CoH) and will have apprentices in the Ivory Tower, I have some thoughts here -- though they're largely what others have said. 
A character that doesn't fit the concept of the organization but is otherwise not an issue OOC -- i.e., doesn't godmode, plays nice with other people, isn't using undisclosed powers, etc. -- should be subject to the rule of IC Actions Equal IC Consequences. So, given the examples, the IC leadership should approach the character, let him know that he's not meeting expectations, and that he needs to either straighten up or see himself out. Back in CoH, we had a fair number of slacker students, overachievers, students of questionable mental or moral capacity, and such. The vast majorty of them weren't highly disruptive IC all the time; being disruptive IC some of the time is fine.
Part of the trick of being in charge IC was deciding how to balance IC consequences with others' desires for their character. Sometimes it helped to consider the consequences a story arc and talk to the player OOC about the impending doom and how it might be averted in a way that produces character growth. Other times, we'd have to "softball" consequences to basically give IC warnings, then see what happened.
You'll note I mentioned "undisclosed powers." One of the important parts of the application process, I think, is determining if the character will be a good fit. If a character is wildly overpowered compared to the rest of the group and that's a problem for the theme (for instance, you're all students of magic and this guy's an archmage), that should come out in the application process and both parties can go their separate ways. What's problematic is when someone has powers or character elements (multiple personalities, royal blood, etc.) that they don't disclose during this process. In that instance, the OOC leadership has to get involved and figure out how to handle the situation. Sometimes, that means the character has to leave; sometimes, it just means the character needs to have their abilities scaled back or the dial turned down on their mental instabilities.

A character that doesn't fit the concept of the organization but is otherwise not an issue OOC -- i.e., doesn't godmode, plays nice with other people, isn't using undisclosed powers, etc. -- should be subject to the rule of IC Actions Equal IC Consequences. So, given the examples, the IC leadership should approach the character, let him know that he's not meeting expectations, and that he needs to either straighten up or see himself out. Back in CoH, we had a fair number of slacker students, overachievers, students of questionable mental or moral capacity, and such. The vast majorty of them weren't highly disruptive IC all the time; being disruptive IC some of the time is fine.

You'll note I mentioned "undisclosed powers." One of the important parts of the application process, I think, is determining if the character will be a good fit. If a character is wildly overpowered compared to the rest of the group and that's a problem for the theme (for instance, you're all students of magic and this guy's an archmage), that should come out in the application process and both parties can go their separate ways. What's problematic is when someone has powers or character elements (multiple personalities, royal blood, etc.) that they don't disclose during this process. In that instance, the OOC leadership has to get involved and figure out how to handle the situation. Sometimes, that means the character has to leave; sometimes, it just means the character needs to have their abilities scaled back or the dial turned down on their mental instabilities.
The Freelance Wizard
Quality RP at low, low prices!
((about me | about L'yhta Mahre | L'yhta's desk | about Mysterium, the Ivory Tower: a heavy RP society of mages))
Quality RP at low, low prices!
((about me | about L'yhta Mahre | L'yhta's desk | about Mysterium, the Ivory Tower: a heavy RP society of mages))