WARNING: I'm sitting at home eating pain pills for a nerve disorder, so if this is a bit disjointed ...
Busabad,
I totally agree with you about assuming you are invisible. This is the best advice anyone who uses a public road can get, no matter what kind of vehicle one is operating. I drive an 18-wheeler for a living, and when people manage not to see a 75 ft long 13 ft high truck, you have to assume there is no way they are going to see you and your bike.
One thing I wanted to add to the discussion:
Ride prepared, and I don't mean just proper protective gear. Be ready to dodge, stop, or accelerate at all times. Ever seen the way an off road racer rides? They stay in "attack" position almost all the time. Body centered, weight forward, two fingers on the clutch and brake levers, and RELAXED. This is because anything can happen at anytime and it takes time to move. If you're already in position you eliminate the time it takes to move your fingers from the grip to the brake lever or slide forward to weight the front tire so you can turn fast enough to avoid the car/deer/alien spacecraft that just ran out in front of you.
Since I mostly lurk and ya'll don't know me, here's a little background:
I've been riding 35 yrs, haven't been without a bike since I was 6. Don't bother doing the math, I already know I'm getting old!
I'm an ex-racer, mostly hare scrambles but some motocross and enduros.
I'm a second generation professional driver. I drive something around 100,000 miles per year. Counting everything I've driven over 2,000,000 miles with no accidents or tickets. That doesn't mean I know it all or am perfect. As far as accidents go I've been lucky more times than I want to count, as far as tickets and bikes it's a case of there's a time and place you can fly and some you can't. Having a bike that can outrun many small aircraft (state trooper helicopters) doesn't hurt either.
I currently have 3 bikes, a 99 KX250, a 1979 Yamaha XS eleven I'm sloooowly restoring, and an 02 busa.
Have a great day, and when (not if) you crash I hope it's one you can brag about later!