This is where they lost me. How often are scrapes and cuts (or even car accidents) treated with antibiotics? Sure, major lesions will warrant a general antibiotic, but in my first three decades of life i can count on one hand the number of times I took antibiotics, and almost all of them were preventative (meaning even without them, the risk to life was statistically indistinguishable from 0). Trying to rally the public with "if you get a scrape you will die" is pretty much fear mongering. And fear mongers can fuck right off.
You say you " can count on one hand the number of times I took antibiotics, and almost all of them were preventative," meaning you took them to prevent infection, so you don't know how many times you could have actually gotten an infection. I did an informal survey of my friends to find out how many have taken antibiotics to fight an actual infection, and the response was 100%. If those infections were antibiotic-resistant, that means 100% of them would have died. I think you're misunderstanding the risk and your comment actually reinforces the danger of infection.
You ask, "How often are scrapes and cuts (or even car accidents) treated with antibiotics?" The answer is very few, but over the course of a lifetime, we experience many scrapes and cuts, and only need to get infected once with an antibiotic-resistant bacteria to die. That's why it's a problem, and it's not being overstated.