If Akihito is so dangerous, why are they tolerating his presence instead of killing him? Because they CAN'T. He's immortal and trying to kill him will just awaken his youmu side. It may be possible to imprison him, but that might give him a reason to go youmu and break through his captivity. The way things are, Akihito is surrounded by people who may or may not be forced to be with him out of necessity. It's a very unpleasant situation for everyone involved, but they all cover it up with pleasantries and random activities in the literature club.
The ending of episode 12 has heard a lot of cries of Ass Pull, but the reason Mirai disappeared was because she'd been sucked into the dimension created by Kyoukai no Kanata. Now that it was back inside Akihito, it's not hard to believe that she could be ejected from said dimension again - it just took some time for her to reform, so to speak.
One could even argue that she was just waiting for him to admit his feelings for her, just as she admitted her feelings for him just as Kyoukai no Kanata was disappearing. Wanting her there and admitting his feelings for her could have inadvertently caused her to escape the dimension.