You could cut out a hole in the middle of the white piece with some success but I think if you cut the white part out completely from just behind the hooks to just in front of the latch braket, it would not be strong enough. The latch is forward of the mounting bolts and would torque around the bolts whenever a force was applied. Eventually this may crack the hump or break the white plastic. Similarly the hooks are going to flex a bit. It might make the hump fit more loosely and vibrate at speed as wind buffets it? But the latch would definately flex each time you push down on the hump to close it.
I like the "stash" effect of a removable white plate. Its a good place to hide whiskey. When I am digging into the hump for for my registration for the officer, the bottle won't be obvious or fall out on the ground.