I can't really figure out the "powerband" on this bike, I have noticed that I can not get close to redline really in any gear, and that 120mph is extremely optimistic.
I can excelerate pretty well, up to about 60-65, and then I am running 7000-8000 rpms, with no power left. Beyond 65, I apply full throttle, and may get up to 70, but I don't think the bike would do that for long.
As far as the powerband goes, I was trying to stretch out the shifts and run up the RPM's at first, but I have recently been running the bike in lower RPM's 3500+, and taking quick, short shifts, and that seems to improve acceleration. My bike seems more tolerant at higher gears now, after several rides, than when I first got it. At first it was very sluggish accelerating, moreso from 35ish to 65 than from a stop to 65 - It was 30 degrees out too then though, I had the choke on, without the choke it runs much smoother.
My last bike was a Yamaha FZ-1 (1000cc's), I bought it new, and sold it when I had a daughter. There really is no comparison between the way these 2 bikes ride, and any habits I had formed riding the FZ-1 don't apply to the Zongshen. Gear selection is much more important on the Zongshen than other bikes, and you have to be careful not to shift too low and drop the clutch, I slid the tires down the hill doing that once. I have quickly learned how the zongshen behaves, and it is a much better ride.
So, I would suggest taking it slow, and really getting to know your bike before venturing into too much traffic, or travelling too far.