Something to test.
In aces high go into the controllers app where you set the scaling. Look at your x, y axis and do the following.
Put you finger on the top of your stick and wiggle it just a tiny bit. If your x, y numbers move around easily, that's the source of your inability to hold steady when shooting. And the reason for the dead zone, dampening, and scaling.
I got rid of it completely by modifying my Fighter stick with tension bands that slip over the potentiometer yokes and solidly lock the x, y to it's centered state along with very strong physical feed back like a real stick pulling against cables.
Most sticks have light springs compared to how strong your hand and wrist is. Even resting your hand on your stick can cause x, y bouncing. Damping and dead band is used to account for those micro bumps in the center. The wider you set these you start running into dead band induced nose bounce while your stick travels from one side to the other of the dead zone. You can see this graphically by going offline and upping the Ju87-G2. Dive on something at full zoom and watch the center of the gunsight bump as you pass your joystick through the dead banded area you set. Or even your rudder peddles.
You can see it go from: control-bump-dead zone-bump-control It's when the passing back into control happens you suddenly have to control back on your dive path to micro adjust your aim. The same thing will show up with your rudder because the mass of the BK3,7 guns magnify yaw and over control or other issues with your rudder controller. Consider whats going on with your high speed fighter during ACM.
Get a copy of DIView. It will show you the state of all axis and buttons on your controllers. It will give you an excellent look at the state of your x, y on your joystick.
Free DIView.exe from SimSteering: http://www.simsteering.com/downloads.html Another thing you can do to cut down on over control since it's only a joystick in a game. Edit the (jsm) file for your joystick, even your rudder pedals z-axis. Locate the x, y calibration lines. Add 5k-10k to the 0 end and delete 5k-10k from the 65k end. Before doing this make a backup copy of the file. If you don't like the results, use the backup copy. Add and delete equally to each end.
Now you don't have to bang your stick from side to side to get full aileron deflection and it becomes a matter of a slight wrist motion to perform maneuvers. Having to full deflect your joystick is what weakens the springs over time. I'm not sure I even use more than half deflection now on my stick for full aileron or elevators. My rudder about the same.