I'm not too famililiar with nintendo cocktails, so you'll have to excuse my ignorance on the matter.
If the monitor is fixed to the top of the table (part that opens) then I wouldn't trust bondo there. Unless you're using the bondo-glass (which has fiberglass in it, and even that may not work), then you'll quickly find out that bondo doesn't have much tensile strength. Its intended use if for creating a smooth surface for painting over. Another issue is I don't know how well bondo will stick to un-finished particle board.
If the table top is just basicly a lid to get into the machine (which I beleive it is), then bondo may work fine as long as you're not rough with the lid.
However, if I were in your position and had accent to a router, a circular saw, and a drill, I would just make a new table top. From what I can tell from the pics, the top looks like a sandwich of either 1/2"-3/4" particle board on bottom with either 1/2"-1/4" birch (or luan) ply on top to make a total of a 1" thick top.
Closely trim the new board a little larger than the original top, clamp the top and new board together, and then hit it with the router and a flush-trim bit.
Thats just me though.
-Harry