I've thought about this once or twice before. I wonder how we would view life if we didn't die from aging or disease, but only accidents, like a fire, car crash, gun shot, etc.
What would happen to religion? Do you choose to continue aging, die, and take your chances with the heaven you've been saying exists, or do you take the new pill, and live forever? If you take the pill, what does that say about your faith in the afterlife?
Do we fear death even more? If I'm going to die in a few decades of old age as my health deteriorates, I might as well enjoy my prime, and take some risks now. If I die, well, no big deal, I was going to die soon enough anyway. If I'm married, 60 years old, and my wife dies, that would be a sad day, but let's not kid ourselves, we're getting old. If your grandma passes away, well, it was her time, she lived a long life.
But, if we live forever, we fear those accidents. If your wife dies in a plane crash age 60, how does that affect you? You might have expected to spend the next ten thousand years together, and she's gone. Do we stop taking these risks? Do I step in a car, or on a plane? I'm willing to take that risk now, but if I knew I could potentially live forever, I wouldn't want to risk dying with so much time still remaining.
Do we enter the world of virtual reality? Why leave my home, I could get hit by lightning, I could get shot walking down the street, hit by a car, or attacked by animals. Why don't I lock myself in an underground bunker facility, and connect to the world through virtual reality? I toss on the goggles, and I enter the VR world where I meet with friends and family, and go on wild adventures, because I can take these risks in the VR world. If I die, I respawn. My body is safe in the bunker, while I pretend to be outside.