I guess the population explosion could also be solved by leaving earth.
However there is also the issue of getting new dna and evolving as a species.
Again I think this is something that is irrelevant at this time, since the problem does not exist yet. It will be interesting to not age, since all life depends on death to evolve.
Instead, I would say that evolution depends on variation followed by selection. Historically, that selection has taken place by differential avoidance (for a while) of death. But the better alternative is selection by intelligent design :-)
(by which I mean that both the variation of DNA and the selection of it can be carried out by intelligent humans, rather than relying on nature red-in-tooth-and-claw).