I have to say that I am having this problem, too. I was talking to my brother, and then I couldn't hear him at all. The phone had put him on hold, and I was at my main app. screen. So I had to go back into the phone call and take the hold off. I tried playing around with this when playing my voicemails, and it seems the phone screen stays turned off ok when doing this. I even tried pressing another voicemail, as soon as I covered the proximity sensor, and it wouldn't let me. So, even with it taking two seconds to turn the display off, it seemed to me that it wasn't letting any key presses go through. Now, while talking on the phone seems to be another story. I've been using my bluetooth, mostly, but I will be playing around with this some more.
I really hope this is a software glitch of some sort. I've had every iPhone, and never had any of the problems that I've had with this one. I hope everyone keeps posting in here to share these problems.