You cannont use Juicys with the Dual Control levers, they don't use the same type of fluids and mixing both is a big NO-NO! You have to use Shimano levers with Shimano calipers... some have experienced mixing Shimano and Magura with success (they both use mineral oil while most others use nasty DOT fluid) but I would not recommand doing that.
I too think your derailleurs should be fine. I quickly had shifting problems with my setup (XT front, XTR rear, XT Dual Controls) when I got my Prophet but it was the cable that got dirty so shifting became very unreliable. I changed the rear derailleur cable and used a full length housing and I haven't had to adjust the derailleur since.
If you do decide to change derailleurs, you'll probably need a long cage if you have the standard 3 rings and 9 speed cassette setup. If you go with a SRAM rear derailleur, you'll need to change the shifter since SRAM and Shimano don't have the same cable pull ratio and that, you guessed it, means you'll need new brake levers or the whole brakeset. Going High normal or Low normal will work fine but one will inverse how you shift the rear derailleur obviously.
I would first check the cables and make sure the adjustments are fine, you have fine derailleurs and shifters. You can also have the derailleur hanger alignement checked to make sure, many shops can do it for free very quickly. Also check that the front e-type derailleur is in the lower plate position, that's where it should be on Prophets...