I am so glad you're all right.
You know what riders need? We need someone to invent a collapsible tire iron. Small enough to fit in the smallest saddlebag. When something like this happens, you take it out, expand it to full size, and smack the other driver in the head with it.

As far as how they can not see us, I swear it doesn't matter if they
do see us. Here's a screwed up thing that it never occurred to me to watch out for -- I'm heading down a busy road, and it's close to rush hour so I'm in the middle of a long line of cars (plenty in front, and plenty behind). There's a guy stopped in the oncoming lane, waiting (and waiting, and
waiting) for a break so he can make a left. The car in front of me passes through the intersection, and the guy waiting guns it through his left turn, right in front of me. I stop short, locking the wheels, and barely miss hitting him. If he'd taken the turn any slower, I would have hit him.
And I was in my
car.
Sometimes they see you just fine -- they just get impatient and figure they'll
make you stop.
Ride safe, everyone. And remember the first rule of riding: everyone's stupid except you.