Hell no to living forever. Let's keep life meaningful and finite.
We'd become an absolute drain on resources and would destroy anything we touched. Humanity is already a cancer to our environment with our excessive pollution and overcrowding. If people lived forever the overpopulation would be awful. We might have to ban giving birth to new people, since if we lived forever and continued to reproduce the population would grow infinitely. There is something so wonderful about a new human coming into this life and seeing things with fresh eyes that is not possible for decrepit and jaded old human beings(even if they are not physically old).
Plus any sort of drug or treatment that would stop aging or give access to eternal life would inevitably be very expensive and extremely high in demand. With limited amounts of such a treatment, we could easily destroy each other attempting to get our hands on it. Look at how big the class divide is now. It would be so much worse if the upper class had access to immortality and amazing medical treatment while the lower class suffered under an eternally youthful and ever increasingly powerful upper class. Management and regulation of such a drug might be nearly impossible.
I do not worship nature or always think we should always submit to the way nature works, but I strongly think attempting such technology would be our destruction. Death is an essential part of nature, and without it everything would become so incredibly imbalanced that quality of life and the things we find so important to us would be drained from our lives
The part about needing to control reproduction bothers me, because it would be necessary if we were all going to live forever. I love children and want to have a large family. A childless existence of 1000s of years wouldn't do me, especially as it would be spent in the company of a society I don't fit in with anyway. And, as you said, the class divisions would be terrible.
But yet, if someone were to offer me the means,
right now, to switch off death, I'm certain I'd take it...