It just ocurred to me to make you all aware of what i learned when building my cabinet. My friend is a woodworker, so we built the majority of the cabinet in his workshop. When It came time to screw pieces together, my friend said that everything should be "Glued & Screwed." When you put a thin coating of wood glue between the pieces, then screw them, the glue bonds the wood so well that you could actuually remove the screws and teh cabinet would be completely solid (don't try this, keep teh screws there for extra support!)
Now, my cabinet was made with 5/8" plywood and 2x2 strips for extra support at all corners, but I'm sure that wood glue bonds MDF just as well. The only thing is that given MDF has a layered structure, you could still have a situation where the surface areas that are glued together, stay together, but the pieces fail farther inside the pieces and de-laminate. Still, if you want your cabinet to not have a single bit of swivel in it, USE WOOD GLUE!!!!!