Well, it has been several months and many votes (By motorcycle experts) and I am thus closing this poll as we have a definitive answer.
The overwhelming consensus of our motorcycle experts is that it is impossible to reduce the weight of the FJR to the point where one can sport tour on this fine touring machine.
I want to thank everyone for their help in answering this question. A white paper will be published shortly.
A BMW is a nice bike. The engine design is older than Harley's V-Twin. A real blast from the past.
I almost bought a BMW R1200RT. But the FJR has way more HP, has better reliability, has better build quality, has lower cost of ownership, is much faster, handles much better, has better brakes, better lighting, better instrument panel, and was more comfortable. Other than that I almost went with the Beemer.