I've now remembered this however:
http://orbiter-forum.com/showthread.php?t=33132
I'm going to have a look at how he did it, maybe you can apply it to Qt.
As mentioned by jedidia there, I've worked with him on Orbiter Galaxy to bring another rendering thread into an Orbiter window. Around that time, I also helped Mindblast with Orbiter Navigator to bring .NET windows into Orbiter full-screen. I can assure you that it works in inline client in full-screen mode. It is a bit tricky, but doable.
However, this was .NET's WinForms that simply wraps WinAPI, so all I had to do was to SetParent() window handles and trick around with message queues a little. I doubt that the same would work with Qt.
If you are interested in the .NET route, just drop me a note.