I have looked at F2s for nothing more than curiosity. It may well be built like a tank, but doesn't really offer anything else over the FE2 - bigger, heavier, slower shutter, no automation.
Having owned both and stayed with the F2, i'll tell you what you get:
- Better fit and finish
- Better viewfinder (better eyepoint, no distortion, better location of meter indications, clear indication of f/stop and shutter speed)
- Shutter with smoother operation and lower vibration levels
- Probably, higher reliability (although the FE2 is a very reliable camera too)
- Compatibility with all Nikkors, not just AI/AF nikkors
- Able to meter with pre-AI and AI/AF nikkors by use of the suitable metering head
Of course the FE2/FM2/FE/FM series are more comfortable to handle and lighter to carry.
FE2 is an awesome camera, but saying the F2 doesn't offer anything over it, is a stretch.