I noticed the shakiness on my bike when I put the new clutch together. I think the clutch was plusing on engagement and neutral was impossible to find. However, the upshifts were very smooth
Now, I'm using a clutch assembly from my spare engine along with new springs. I've had problems putting the cable back on, but in my case I had the lifter plate in the wrong position. I had to remove the clutch case to slove that problem. My clutch is tough to pull too with the new springs ( lubing the cable helps a bit though)
Did you soak the fiber plates in oil for at least one full day? I didn't do this, but when I reinstall the new discs I will.