Deadzone of 5 is also a significant factor here. I had initially set my deadzone to 4 to combat a slight right bias in center that the Thrustmaster calibration program wouldn't fix. I found it very challenging to fly formation or refuel like this, and was constantly lurching about to correct my position.
I finally recalibrated the stick from the windows game controller menu and fixed the bias and turned the deadzone down to 1. It felt like flying a different aircraft, I had so much more control.
Now I'm going to try turning the axis curve down like others are suggesting, I've always flown the A-10 with a heavy curve and didn't give it a second thought when setting up controls for the hornet.