You can use VGA or DVI splitters to get the same output on multiple LCDs, but at it's core a Mini can only drive one monitor at a time.
This means that
A) you could have 3 LCDs driven off splitters, but they will always show the same thing (e.g. video up front or control in back). You can prevent the rear from having control simply by not installing touch screens, or you could add the touch screens for a more interactive experience (it would just be like having multiple mice attached).
B) Use one of the products that tells the computer that the attached monitor is bigger than it really is and then splits the signal across 2 or more monitors (e.g. with 2 800x480 LCDs, it would report to the Mac as 1600x480). There are problems with this though. The main one is that as far as the Mini is concerned, it is one screen which means full screen Apps are useless to you (they will span all the screens). This means you will have to come up with solutions for displaying the desired output on the desired screen that others aren't dealing with. Also you could end up with a resolution that the Mini's graphic chip can't handle (just a guess/theory).