The thing is they're two different purposed devices.
As of right now there's nothing I can't do on my Galaxy Note 2 with a reason of too slow of hardware. Literally it's just fast and I can't imagine experiencing "faster" anytime soon.
If the S4 had a 1080p Pentile screen, I'd rather stick with my 720p RGB on my Note 2 hands down. Do not buy into the bogus pentile higher resolution claims. Pentile is an abomination and I am so happy that on a whim I researched the Note 2 and found out it didn't use that tech. It's the only reason I pulled the trigger on this phone and man was I happy.
My honest recommendation? If you can handle the size (which you seem to not mind) and have use for the amazing S Pen, then I would say go ahead and get the Galaxy Note 2, enjoy it and sit on it for a solid year or two, and when it's time for your next phone get the Note 3. It will not only probably not have the shoddy Pentile screen the S4 will likely have (if it goes 1080p) but it will also treat you right with your expectations of a Note. Once you use this phone in your own personal life for a week, you'll never want a non-Note device again. I guarantee it.