Smooth move is a laxative to keep the stuff coming out since you're not taking in any fiber. Some of those other teas stimulate other body functions and it's quite "possible" that it will interfere, specially if they stimulate digestion.
If you wanna do whatever have at it. I'm of the KISS (Keep it simple stupid) school of thought and if I'm gonna go through all the effort comittment that it takes to do the MC. I'm gonna go with the tried and proved method that has been around for 50 years and done by thousand of folks succesfully.