No. Nothing is worth the utter destruction of a person. People have an endless capacity to learn and grow, and there is no limited room for people that's getting used up; the universe is a very big place. Longevity will certainly lead to some interesting challenges; bring them on, they're worth solving and none of them are worth killing people to avoid. And preventing people from living is absolutely equivalent to killing them.
Personally, for me I'd say "no". But I decided not to have kids, and I don't think you can have unlimited reproduction and immortality. It would be interesting to give people the choice between eternal life and kids. Like in the Highlander, your "prize" for having kids is mortality.
We need to fix that too.