Scaling might be the thing for you to do. Deadpan allows you to have shaky hands without affecting your direction, Damping will add a delay to your input and ignore minor movements. Both are useful to eliminate automatic and unwanted stick movements. Start with none for both of them. If the raw indicator doesn't move, good. If it does, add some deadpan until the indicator is stable. Next lay your hand on the stick, just as you would do while auto-climbing. If your hand stutters, you might want to add a little damping. Do that for every axis separately, and for all of your controllers including pedals. You might also want to test the stability of your gaming desk without touching your stick. Shake your leg, tap your feet, drum the desk with your palms... You know, the little things you might do while autopiloting on a long trip.
For scaling there are many different styles from none to parabolic to linear. My current setup is a straight line in an angle of about 30 degrees, ending to the top right corner. That makes the stick a little less sensitive in small movements. Compare the raw and scaled indicator while moving your stick, then do some test flying. There's no right or wrong way to do that, the correct setting is what you get most kills with.