I haven't used Back Track in a while, so I'm not sure what distro it's based on (if any) or what it would take to get a wireless device working, but the first thing I'd do would be to boot up with the Live CD version and see if you have wireless support at the desktop (you might need to use a program like wpa_supplicant.. I have no idea what tools are available from the get-go). If you do, then that's a good sign... you just need to figure out why it's not working in your regular install.
Out of curiosity, did you simply plug it in and expect it to begin working right away? I'm just not sure of your experience with Linux. A driver (module) is needed, and the good news is that there's a ton of support for Belkin devices in the F5D range, but I'm not sure about F7D. You might be able to use available drivers on the newer device, though.
In the worst case, you could simply try to use ndiswrapper along with the Windows driver to see if you have better luck there. Just be sure to install the drivers suited for XP, since Vista/7 drivers tend to not always agree.
You mentioned that the OS "sees" the adapter, but that doesn't always mean it can use it. I'd recommend loading up a terminal and entering su or sudo and typing in:
lspci -vv
If you're not in an X server, you can view it screen-by-screen by adding " | more " after it, without quotes, or you could output it to a file to review in a slightly easier manner through a text editor. You'd want to look for references of network/wireless adapters, and when you find the Belkin model, see if there is an entry for "Kernel driver in use:" under the blurb. If nothing is there, the OS can't currently use it. If there IS a driver in use, then it's a configuration issue.