The first thing I did was measure the placement of the push terminal on the project box:
Just use a pencil, mark the spot, then take the dremel with the drill bit and hack away:

After doing that for both sides, screw in the push terminal into the project box. I ran into something rather annoying on the terminal. I notice there were tiny raised plastic pieces:

I made the holes perfect for just the 4 prongs, so I just used the dremel once again and just shaved off the damn thing. Now that its screwed in, this is what you probably should have but may deviate from:
