I have the issue with sMIUI, official MIUI 6. I don't have the problem when using mokee ROM. I believe is somehow kernel related. My experience trying different roms shows that if I can control the buttons on my headphones I will get the non responsive screen issue.
same thing happens with my screen using MIUI, but with kitkat WIUI and Mokee (also kitkat) the problem hasn't showed up.
I would recommend to use one of those roms and see if that fix the issue.
I have mokee on partition one, but I don't think that makes any difference. I have not seen any of this complains in the official english forum, and its very annoying problem
I have experienced the same ghost touches with MIUI and WIUI, now I am using Mokee and for a month everything were smooth, until yesterday when I tried WIUI again, in 10 minutes I was with the first ghost touches so I am back at Mokee