Exactly my thought. If Fuji could implement Wi-Fi and smartphone compability like Canon does in their DSLRs, the rear screen could be dropped altogether. You get live view and basic settings on your smartphone or tablet: fully tilt able and rotating 360 degrees - take that Sony NEX
In return they could skip the built-in flash on my X-E1 and replace it with a small B&W display only for the settings, just like on prosumer DSLRs.
To complete the perfect body switch the EC dial for an ISO dial and give it an the shutter speed dial 1/3 increments - without additional markings! Add weather sealing, center the tripod mount, seperate the card slot from the battery and move it to the side of the body.
On the rear of the camera, put the AF-L where the dial is in the top right corner. On the raised part where now the flash release and view mode reside put four buttons for self-timer (in picture review mode: delete), macro-mode (zoom in), EVF-enlargement for manual focusing (zoom out) and the view mode (customizable through Wi-Fi on the smartphone). As a sixth control: a small joystick - just like the big Canon's - to move the focus point or navigate through pics in review. For me, the fn-button next to the shutter release could then be assigned permanently to DOF-preview. All other buttons could be skipped, because as somebody else already suggested: RAW-only!!!
But not your average RAW format - DNG! If it is even possible with X-trans... I guess, if the processor and software are tuned right, loosing the JPEGs could make the camera quicker in operation. The film simulations would be great as separate plug-ins for LR and Aperture - free for registered Fuji users, $30 for everyone else (including an $30 mail in rebate for the purchase of a Fuji camera ;-).
Oh my, I drifted away from the subject... Well, ehmm... No LCD would be fine under some conditions
Best,
Mike