I have bought an mhl cable, it is 4meters long so i can use my device to handle the menu navigation. The only matter for me is the keyboard, because virtual keyboard hides most of the available display. ;)
Aha i see i thought that digitizer was too sensitive. I have upgraded to latest MIUI v5 (4.1.24) till now works ok.
Edited: Using JLB21.0 i had this problem after using the phone more than an hour.