MOONDRIVER STOP!!!
Here is the fix. I just finished a job where the "contractor" framed the walls so out of plumb that here is what I had to do. This job is EXACTLY like the job. You need to basically forget the drywall exists and get that door in there so that it is plumb and not swinging on its own then address the drywall. I know it goes against what one naturally wants to do but trust me this works I did it 9 times with doors and 3 more times with windows so I know this works! I just hope I explain it well enough for someone to understand. If you need further explanation I will get it to you so that you don't ruin those beautiful doors, or you could pay me gas money and I will come finish it for you, LOL. Here is the link to the project that is what you will be doing
http://paragonrenovations.net/basementtrim.aspx
Okay here we go...
To eliminate the annoying door swing:
1)You will have to plumb the hinge side both toward the door AND toward the room or in other words the face that has the hinges and the face that the trim attaches to or the 5/8" edge (just stay with me as we will address the drywall aspect after this) and then secure it with shims and nails (you kow that part I am sure)
2) Now you need to leave the latch side loose and secure the top by pinning it with one or two nails and now close the door so that it touches the door stop at the top. Now you close the door (as the door will be plumb because you plumbed it.. ahh both east and west and North and South if that makes sense in other words it is plumb between the jamb legs the other way too) and just get that leg so that it contacts the door all the way down. Then set it this way and the door then is set plumb and the door does not swing anymore on its own.
3) Now what the heck do we do about the sheetock that may be severely out of whack right? Well fear not here is the solution!
This is based upon using casing that is at least 2 1/4" wide and you will have at least a 3/ 16" reveal on the doors. I am guessing you will not be using any casing narrower than that.
Okay here is what you do. Scribe a line out 2" from the inside of the jambs on the sheetrock. I used a tri square and set it at 2" and slid it down the inside of the jamb while drawing the line on the drywall. You could just pull a tape 2" out from the jamb insides or the edge where the door abuts to.
I then cut the sheetrock with a carpenters knife on that line and chipped it out. You only have an 1/8 of an inch to compensate for so you won;t have to remove the sheetrock too deep but I would remove at least 1/2 of the thickness of the rock or like 5/16th of an inch. Then install your trim and voila you will never know the rock was proud of the jambs because the trim will gradually make the transition.
here is the link to the project and there is a breif explaination as to the process I used there as well check it out and if you are confused about any part let me know. Creating an extension jamb will be a nightmare for you and will make the doors look goofy although you could do a sharp double reveal but I think you will find this method a viable option and the final decision is up to you.
Good luck and be safe, if you have any other questions post it here or email me!