I may have accidentally deleted appearance.2da and baseitems.2da, now that I think about it. I restored everything I deleted after I determined it didn't work. But I will try again later today.
Edit: Correctly uninstalled the slender body mod, game loaded successfully. Cutscene still did not trigger when it was supposed to, the next thing that just occurred to me that my additional dark jedi robes pack could be conflicting.
http://knightsoftheoldrepublic.filefront.com/file/Additional_Dark_Jedi_Robes_Pack;83841
I unequipped the robes everyone in my party was wearing and put on different items, and that did nothing. I haven't tried an uninstall of the whole mod, but that will be my next step. Will update again after I try that.
Edit 2.0: I uninstalled the robes mod entirely, and that did nothing to fix the problem. I did however, take a look at what is supposed to happen upon entering the rebuilt enclave, and noticed that after kreia says her piece at the entrance, she goes to sit down on the bench. This action is entirely passed over, and it seems as if the exile starts walking towards the council chamber in the same manner as after the brief discussion with kreia while she is sitting down. Both kreia and the other party member I bring along will follow until the screen goes blank.
I hope I explained the issue in enough detail to potentially get some other suggestions as to what could be causing this. At this point I have exhausted every possibility of mod confliction for the ones I have installed.