Destiny has some great machinima potential in it. What with the different classes, the supers, the vast amount of weaponry, and the emotes. Adding a theater mode like the one you did in Halo would be awesome and I could see a lot of creative things coming out of it. It probably won't happen for quite some time (If it ever even happens) but one can still hope. I don't see why anyone wouldn't want this, its just adding to the game.
Custom games+Theater mode=Greatness
Edit: Looks like we're trending. Hurrah!!
Edit: Ahem...PRIVATE MATCHES ARE COMING!!!! HAPPY DAY!!!! *Proceed to yell this at every person I meet*
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Well dear, I feel like it could be done and would be good. Maybe it can be implemented slowly, starting with crucible to have a controlled environment with less things going on then add it to PVE