From my limited research, some recipes use kiwi liqueur instead of Midori, but having never tried this I cannot comment on which is better or indeed which is the 'true' recipe. Most cocktails are a product of the experimental process and tastes change, so I see little point on dwelling on what was the genesis.
Anyway, this is a fun and colourful drink but not one I'd advise spending a whole night on as I can imagine things going terribly wrong. Some recipes suggest using 7-Up, but I'd advise against it; use soda and fresh lemon and lime juice, otherwise it becomes overbearingly sweet.