I don't know if you use the AEL button for AEL, but you can see that as a c3 button too  Also for AF/MF!

Yes, it's silly that "deactivate monitor" let's the backlight active...

There is a lot to customise on the A6000, I'm quite sure you can make it work the way you like it to!

BTW: touchscreens can be deactivated on sony cameras to avoid accidental presses on it