I got exactly the same issue. First experienced it in SU3 then upgraded to SU4 Beta and the same problem occurs. Displays and interactions freeze. You can still click some buttons but they dont have any effect.
Using 1.0.2, but had this with 1.0.1 as well. Also I am using SimApp Pro for the WINWING MCDU and MiniFCU. Never had these issues before with any other aircraft. I mostly flew Fenix A320 so far and thought I would give the 340 a try. Really hope you guys get these issues solved. Its no fun when you are several hours into a flight and this happens.