Careful just lowering the front end at will... might make turn in slightly sharper but will definitely effect stability too... have you set up the suspension on the 6R properly yet?
Here's Sportrider.com's guide to adjusting ride height:
http://www.sportrider.com/tech/146_0202_geek/
... but I suggest to start with tuning your suspension:
http://www.sportrider.com/tech/146_0006_susp/
(an excellent guide to FAQ's, troubleshooting, and overall adjustment and setup this forum links to quite often...)
... and by the way, imo the F3 has better tires (the M1's) than your bike, that might be PART of the reason why you like its handling better
I always hesitate to recommend fiddling with things like ride height and different aspect/profile tires to create a difference in handling until convinced you have set up your front and rear suspension to the ideal settings to suit your riding style, size, and roads / tracks. Tuning suspension is a LOT easier than most people give themselves credit for.
"Keep yer feet on the pegs and your right hand cranked."