I'm afraid I don't understand your examples.
John brought Meg to the dance, and Michael brought Alice... or was it vice versa? (That would mean John and Alice, and Michael and Meg.)
My dream home is dark green with cream-colored shutters. No wait, it's vice versa. (A cream-colored house with dark green shutters.)
If Tom finds he really can't stand working with Barb, or vice versa, we'll have to mix up the teams. (If Barb can't stand Tom.)