I have recently noticed that when slowing for a stop on my '07 Ultra Classic if I disengage the clutch and coast I get a lot of vibration, the whole bike shakes. If I downshift and keep the clutch engaged I have no vibration. I even tried it around 50 mph and got the same vibration with the clutch disengaged, nothing unusual with it under power. Any ideas?
I hate to sound like a dealer, but I'd have to say that's kind of normal.
On both my last two new bikes, an '08 SERK and an '09 SERG, they both shake pretty good at a stop light with the clutch disengaged. That's exactly what your bike does if you pull in on the clutch and coast/brake down rather than down shifting and letting the motor slow you down. As soon as you re-engage the clutch and load the motor again the vibration stops.
I will bet that more will say the same thing on rubber mounted touring motors. Now that's not for sure you don't have a broken front mount or a loose mount, but I'm still sticking "normal" for touring bikes.