I think a Cintiq might be more your style here.
I have a Studio. I don't see any way to connect it to another computer in a way that would let you use its touch screen for input to the other machine. I suppose you could put a file that is resident on your non-touch machine in the cloud and edit it on the Studio, then re-open it on the other machine. But I don't think that's what you are asking about.