Ok, I think I may have figured something out with the ghost button presses. In the Madcatz control panel, go into settings and select the throttle. From there you will see Throttle One and Throttle Two on the upper left of the window. Select Throttle One, you will see the profile with a diagonal line from the lower left corner to the upper right. If you look closely, the line is slightly jagged. On the lower right corner you will see a box where you can select the profile, on the top it has J profiles, and bottom S profiles. Select the S profile with the diagonal line and click apply. Do the same for Throttle Two. Now if you look at the diagonal line it is smoother.
I just flew for an hour this way and had no issues, no ghost button presses.
Something else worth noting, when playing around with the settings, if you disable the left throttle with the lock icon, the right throttle will only work with the throttles unlocked from each other. There must be some type of sensor on the mechanism that locks the two throttles together.