If the comments about shooting up the school are corroborated by witnesses, the university has no choice but to dismiss him. In this day and age, there is absolutely no room for comments like that. It's no laughing matter and certainly not the type of comments to be made in a domestic dispute. The university will be raked through the mud by the media for months for not setting an example. Not something Fulmer wants on his watch as AD and certainly not something the University wants to be in the news for.
Now, if there is any room for doubt in witness statements, then what I just said is a moot point and he needs to be reinstated.