I'm ignoring statistic rather than science, but since you took the time to give an articulated rebuttal, I'll share my thoughts without sarcasm.
Riding a motorbike is indeed much more dangerous than driving, and I can assure you that every biker on the road knows that little detail very well.
You and me, read: someone who worked in an emergency department and an average biker, are worlds apart.
We are linked in that peculiar, horrific and statistically possible event of an accident, where I'm the one injured and you are the one taking care of the consequences of my stupid "hobby".
And PLEASE do know that I have the utmost respect for what you do/did while helping others, guys like me maybe, working dozens of hours in a stressful and frantic environment.
But there's something missing, something I struggle to explain to someone who's not aware of what riding a motorbike means to me.
To people like me, and probably like OP, riding can be the difference between a boring, depressing and meaningless routine and finally realizing a dream, even for 20 minutes of commute to work.
Let's say you love dogs, and your partner can barely suffer them, how could you describe the true meaning of having such a loving creature greeting you licking you face to someone who can only see it as an animal..behaving like an animal?
"Yep, it's something furry.It stinks when it rains, barks loudly and poops a lot".
You would probably get upset, "how can he not see the world of joy that this dog gives to me?".
That's why my reaction is so harsh when I see someone like a younger me, with a passion like mine, being almost deceived with horror movie scenes in the EMT and completely dismissing his own desires/dreams/passion.
I can assure you that having a ride meant a lot to me in the darkest moments of my life, putting on a helmet, starting the engine and just taking the road to the lake, savouring the scent of trees and slowly reaching nowhere, lost up in the hills.
It gives you a LOT more than what you can see on the outside.
That's why I've been impolite all over this thread, my fault I know, but I think OP is getting only a partial and grossly negative view on what riding a bike is.
He knows what COULD mean to him, but he gets only "Heh, so you're going to be an organ donor?" or "Once I saw a biker decapitated by a fence, why would you do this"?
I am almost 40, i ride since when I was a kid, I have hundreds (not kidding) of friends of all ages, up to 70, with motorbikes, men and women, dads, moms, people who ride with their friends/relatives/siblings.
Taking away all the beauty of this passion, only talking about a far, possibile yet not probable outcome, is unfair to OP and unfair to who had his life made better by the freedom that riding gives you.
Sorry for my english, not my first language.
And take care.