I have a CH Flightstick Pro also, and it works fine - when it's hooked up to my CH Throttle and Rudders. If you have to spend the cash anyways, take a look on eBay and see if you can get a throttle and rudders for your current stick. You may be able to get the throttle and rudders for the price of a new stick. The game is so much better with the throttle (and especially the rudders) that the money would be well spent, even if it was a little more.
FYI, I got my entire package (Flightstick Pro, CH Throttle, and CH Pro Rudders) for $115 on eBay - a pretty good deal for nearly $300 worth of equipment that works perfectly with the game.