I wouldn't be surprised if that XLR is soldered directly to a board inside, this would complicate the mod. I'd imagine its doable but it could void your warranty messing around in there... Sure seems like GK should of foreseen this and simply installed the jack around the other way around.
Maybe GK has came up with a solution, have you tried contacting them about this. (heck if enough people complained maybe they'd consider correcting the situation under warranty or at least on future models)
Probably not the best solution but you could use one of these:
http://www.google.com/products/catal...d=0CFYQ8wIwAw#
Or just mabey just leave a super short mic cord in it.