Your nuts may not fit on the bottoms of the buttons, and your joystick shafts may end up being to short.
I dare you to post this in Everything Else. 
-S
Well, since he's chicken, I'll make the trip instead

Sounds like he's got more problems than finding the right dimensions for his wood.
(go ahead, run with it!

)
Look at the plywood in your area. Same thing by me for Home Depot's, but Menards carries both. At HD, they've only got plywood in that thickness, and the MDF only comes in
3/
4". It may be regional, but I bet it's just what supplier they buy from.
Long time lurker, first time poster.
I'm running into the same availability problem. Can MDF be planed? Can I get 3/4" sheet of it, cut it into two 2-foot wide pieces, run each through a planer that accepts pieces of such a width, take them down to 5/8", and then end glue them back together to recover a 4-foot wide piece?
I'm probably finishing the thing with countertop laminate, so the glue seam wouldn't be a big deal aesthetically.
GOOD LORD!

It's MDF, screw going through all THAT hassle! Just modify your friggen plans or figure out something else. The amount of dust you're going to create is enough to make me think you're trying to slowly, ever so slowly, commit sooey-side or something

at least no one pointed out blatant problems, so that's a good sign that it just may work
ummmmmm
I know its a lot of routing, and I'm terrible at it,
Find yourself a sawboard or something before you attempt this, or look at plywood.