Spoke too soon. While it does function properly, and the test roll I shot looks fine, I noticed a winding abnormality. After a Google search I found it is rather common to have shutter issues with the F2 body. Mine works fine as long as I make sure I advance the shutter/film winding all the way between each shot. The camera is supposed to have a lock out so if the film is not advanced the entire way, and the shutter is not cocked completely, the shutter button is supposed to not be able to be pressed. On mine, if I advance the film past 3/4, which means the shutter is cocked 3/4 of the way, I can press the shutter release. It half fires the shutter and sticks the mirror halfway up. I can clear this by advancing the film completely (although I waste a frame), but in talking with the folks at Authorized Service (experts on this old Nikon gear) this morning, they said the shutter mechanism has to be removed and a piece replaced ($165). I asked if I could just keep using it this way, as long as I check to make sure I completely advance the film and shutter, and he said yes, but eventually it would completely lock up. So there you go. Not a completely bullet proof camera after all.
Best,
-Tim