Good, economical stick.

The Logitech game controller is superbly useful - between that and FS's mapping options, you shouldn't have too many problems getting things right.
Unfortunately, as QD was saying, getting the deadzone minimal is a real pain, and you probably won't quite do it...

However, you can get the stick to respond better by balancing the shortcomings of FS's input handling while tuning the responsiveness of the '3D Pro - here's what I've got:
Y-axis>> Sensitivity: 80% Dead Zone: 0% Range: 100%
X-axis>> Sensitivity: 80% Dead Zone: 0% Range: 100%
Twist>> Sensitivity: 50% Dead Zone: 0% Range: 100%
Throttle>> Sensitivity: 50% Dead Zone: 0% Range: 100%
...I've never tried playing with range values, but that might make a difference, especially for when you'll need to stick with FS sensitivity at the "2nd bar" - the ship will drift constantly otherwise...

I retain the hat switch as a viewing control, though the inability to look at 45deg angles is very bothersome. As for the top quad of buttons, I use those to cycle through primary and secondary weapons. On the base buttons, I'll keep one for the fore/aft thrusters, the countermeasures, afterburner, and some useful targeting functions as well. (I think one was boresight targeting, one was nearest hostile... I've not played in a long time...).
If you ever need the hat for thrusters, you can get diagnonal movement out, but you'll need to program keystrokes into the Profiler - FS, as said, does not support diagonal hat stick movement...