OK I tried whipping it, while at room temp and from a peanut butter consistency, but it didn't work. It only got very slightly lighter in color and maybe a little looser (probably from the mixer heating it up) but definitely not fluffy. Next time I'll try with only the coconut cream as I think using the coconut milk is a problem.
The good news is I didn't ruin it by attempting to whip it, it's still smooth and delicious. It only has a slight coconut taste, not like it's intentionally coconut flavored or anything. For the record, I used a 2:1 dark chocolate/coconut milk ratio.