Don't get me wrong - I think the GH2 is a nice little camera and in the hands of an experienced DP, would be loads better than a broadcast quality piece of kit in between my clumsy fingers but the OP asked a question and I wanted to give an answer.
Specifically, the OP asked about cameras in the $1.5k - $2k USD range, not the sub $1,000 USD range which is why I discounted the GH2 and, if you notice, made no mention or allusion to it as I was writing about DSLRs. I am fully aware of the GH2 which is a very nice little sub $1,000 USD piece of kit but just not in the range the OP was writing about.
As for the little niggles with the GH2 - well, the XLR, sound, headphones, microphone attachment etc... points I raised are all still niggles with the GH2. A docu film make can pick up their VG10 with nice, omni microphone physically attached (usable in a tight spot if absolutely necessary) and shoot an interview in an impromptu situation right off the cuff without having to mess around with mics etc... or worry that they won't capture the sound.
Next week I will be shooting with a Rebel and I am sure it will be OK. However, my preference would be to shoot with my little VG10. Actually, my preference would be to have a DP shoot with the most expensive broadcast camera they could loot but that's another story.