Possibility of live streaming dual-fisheye images via USB

Unfortunately, there is no way to do this. The THETA S (old model) is the only model that could stream over the USB cable in dual-fisheye

The stitching parameters of the lens are not disclosed. Other people are implementing the equirectangular to perspective without the lens distortion parameters and it appears to be good-enough in some cases.

If it is limited production, you can manually calibrate each camera and save the correction parameters to a settings file of your application.
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Robotics Intelligence Laboratory using THETA S. However, they are also using the THETA V for some prototypes. You may want to contact the OP and ask what the current status is.