As it turns out, when I run Foxy's Direct X8 Cougar Analyser, the selection box for the applet doesn't show a choice for selection of the Cougar Joystick. Therefore, I can't make it work.
It is my opinion, and my trial and error attempts, that the Vista/Win 7 64-bit driver is not installed properly, or there is a flaw in the DXn feature. I just don't know which. I did send an email to the Thrustmaster support team via their website about this issue.
As it turns out, the Cougar stick and throttle works fine with my FSX and IL-2 1946 profiles for those two sims as I'm sending standard key press commands. However, the excellent profiles developed by Jastang fail whenever one of the buttons assigned a DXn command is executed. Here is the link to Jastang's site in case you are not familiar with his work: http://www.falcon40.co.uk/
I used this profile for several years under Win XP, but now it no longer works.