Not really, at least the part about mid airs, every one flying should be worried and vigilant.
We have a whole system, with literally at least dozens of procedures specifically designed to keep airplanes from colliding. It is drilled into our heads early in training to keep your head on a swivel to watch for traffic. We are told during training to watch for traffic in high density areas like VORs, patterns, near airports. We have radar specifically designed for keeping aircraft separated. We have controllers whose job is mainly directing traffic flow to keep airplanes from colliding with each other. Millions, if not billions have been spent on ADSb bring us in airplane systems to notify, warn and keep track of other airplanes so we don't run into each other.
I fly in Massachusetts out of a busy delta. Every flight I get traffic called out to look for. Every flight I see traffic fly by within a few miles. Every couple flights I have to change direction to avoid traffic. I've had several instances where if I hadn't made a turn there would have been a collision.
One instance, less than a year ago, I was near a vor, not over it I don't do that unless I need to but a few miles from it. It doesn't matter how it happened, it did, I was travelling SW at 4,500, he was travelling NW at 4,500. I didn't see him (or her) out of my left windshield until we were less than a mile apart and we were closing fast. It was too late for a turn, so I dove. He passed about 50 or 100 feet above me, we would have collided. Technically I had the ROW, but it didn't matter, the other airplane continued on, no turn, no altitude change, he had no idea how close he came.
Another time I was on a practice instrument approach in Maine, I was on the final approach fix, about five miles from the airport and was watching someone maneuvering off to the right. I called that I was on a five mile final, flying a practice instrument approach, he calls with his position, then turns on an intersecting course, same altitude. I gave it about 30 seconds, then called, said I was leaving the approach for traffic (him), made a 90 degree turn, let him go by, then rejoined the approach. I'm not sure what his deal was, probably a student, but he had the right of way so it was fine.
Finally, what really convinced me that thinking it's a big sky out there is a stupid thing happened years ago in my primary training, all we had was eyeballs back then. It was probably my first call to a control tower, my instructor had primed me on what to say and I screwed it up, badly. He took over the call, them proceeded to dress me down like he never had before. As he was spewing, I realized he wasn't looking for traffic in a busy area, he was writing crap down for me to look at. I tuned him out and started scanning, sure enough I see a little dot in the distance not moving. He was really on a roll, so I smacked him in the chest and said "Traffic, traffic, traffic!" while pointing at it. He looked, saw it, said "My controls" and banked us at least 60 degrees. The Mooney zipped by my window close enough I could tell what the pilot was wearing. He was looking straight ahead, never saw us. After we were turned back to the airport, my instructor told me seeing that traffic had more than made up for my gaffe on the radio. I told him good, don't ever f'ng talk to me like that again. We both laughed, he was a good instructor.
Don't be that guy tooling along oblivious. The system works much better when everyone is aware.