I must descent from the consensus on this topic and say that eternal life would be appalling.

A limitless supply of anything devalues it and would only make things unbearable given enough time. Take a moment to think of what has lost it's luster to you in the time that you have lived, now imagine all of the other things that will throughout the rest of you limited life, now if you live to a hundred that by our standards is considered a long time. stretch this to 1000 years and I can't conceive of someone who would not beg for death at this point. Taking this a step further 1000 years would only scratch the surface of "eternity".

I consider death comforting in a way knowing that ultimately there is no seriousness, or purpose to the universe.

I do however feel that this quest is an immutable desire that will not be separated from the human psyche, nor do I suggest that it should be. I personally don't think there is anything that "should" happen.

Anyway that's my 2 cents.