I have had the same problem, I believe. Flashing display, in lcd and evf, on my XE2.
This problem started when I got my camera repaired at Fujifilm Service Centre in Bangkok, last week. I had taken the camera in for repair after it overheated in the car. They told me the main board had gone in the camera. The board was replaced. I picked up the camera, and then took it directly to a commercial job I was doing. When I got to the job, and put a lens on, I realised there was a problem with the display - it was flashing, staticky, and going bright white. I managed to persevere and do the job, despite this (I used to shoot film, so I can 'shoot blind', to some extent).
Anyway, having to get back to Australia, I left the camera in Thailand for my partner to return to Fujifilm for the problem to be repaired.
I am not impressed with the Fujifilm Service Centre charging me a chunk of change and then returning the camera to me with this fault.