I would suggest there is a software conflict, so you could try:-
Unplug the USB wireless dongle(s).
Goto Control Panel -> Add/Remove hardware, and uninstall both USB dongles.
Re-Install the software/drivers supplied with ONE of the dongles only.
Re-boot if prompted.
Insert the correct dongle for the installed software/driver.
Windows should "detect new hardware" and install the driver to make it work.
If that scenario doesn't work it's beyond my help, and you could try the relevent manufacturers site for a solution.