I use the Logitech you have, it's the best I could afford and it works ok. Can't get the top thumb button to map which would be great for the views and give me the extra buttons I want.... Mine will be a year old this summer and I can feel it starting to wear out. (oh darn)
Basically, you need to calibrate it and then map the buttons you want. I've changed the button maps serveral times trying to find the the best comfort and fit.
Can't wait to get a better stick so I can do primary and secondary weapon sets not to mention less key board interaction.
Bottom line....I can fly with it, score kills and enjoy the game. (it's gotta be better than a mouse)
Goto setup and select JoyStick, set it up then go test it. Then go back to setup and reconfig the mapping of the buttons until it's comfortable for you. Calibration is most important, be sure to press every button, move the throttle back and forth, AND move the stick 360 degrees AND don't forget to twist it too.
Good luck and good hunting