make the stream coming from a website mimic the stream coming from the local webcam, for purposes of splitter software recognizing it

I need to retransmit the video streaming coming from my site [login to view URL] into other websites, One way is to make that stream appear to be the stream from a webcam install in a computer, so splitter software like manycam or splitcam can recognize it and capture it. So how can you make the stream coming from a website mimic the stream coming from the local webcam, for purposes of splitter software recognizing it.