Your idle problem would definitely point to your slow jets, perhaps they are clogged slightly?
However, the range of 2-4k rpm is really slide needle dependent. This is the range from 1/4-3/4 throttle.
Maybe at one point the needle clips were moved, have any confirmation on this setting?
Can you get the bike to idle correctly by adjusting the IDLE adjust screw (NOT air or mixture screws) and what RPM is that?
The jetting is a bit odd, from what I have seen, if people jet the outer carbs different than the inner carbs, it is due to pod filters and the change in air flow. With a stock airbox, I don't think this is necessary.