I am not quite sure what you are referring.....if you are referring to the Safari Celebration Dinner then it is Tusker House as the restaurant. I really do not know anything regarding the offerings there at this meal. But we have done the Sunrise Safari twice (from AKL) and it ended up at the Tusker House for a buffet breakfast that was great....the best breakfast at WDW these days. If the dinner is as good as the breakfast, then you will not be disappointed.
But again, can't recall ever hearing of a Safari Barbeque....though if I went by the name, I would guess Flame Tree could be involved.