A choice of leaving the country of my birth or leaving this mortal plane... I know which way I would go.
It's about as likely as having a sentient AI anytime soon. So, you can rest assured it's not going to happen despite all the hype.
It's weird that everyone believes this stuff will happen within their own lifetime. Like, no-one goes on about how life extension is going to happen 300-ish years from now, it's always conveniently within a timeframe where the speculator could personally become immortal.
Just like every loon in history has insisted that the Apocalypse is definitely, certainly going to happen within their own lifetimes too.
We have many active and healthy 50, 60 and 70 year olds. This is unheard in cultures before the modern era.
We know so little about the human body that I find this claim very difficult to substantiate. We're only up to the task of extending 25% of mice lifespans, with no end in sight to resolving the adverse side effects of aging in humans so life extension doesn't become a horrid, protracted end of life grinding agony.
If our entire economic system was switched from the banking system having the first crack at newly-issued capital to the healthcare industry with special emphasis upon gerontology-oriented sectors (with the near-infinite demand for healthcare, the inflation could be impressive), then I would grant a possible doubling (which counts as significant when stacking up against "indefinite") breakthrough in the next 2-3 decades. But I would really like to see the pro-SENS argument we're really that close to such a magnitude breakthrough of extension with intact, restored vitality to 20's range.
For instance - in under a billion years the earth is likely to become too hot for liquid water to exist on the surface, likely seeing the end of (most) life on earth. Beyond that, much/most of the solar system gets destroyed when the sun goes red-giant. Unless interstellar travel is commonplace by then, it's pretty final.
I think it's perfectly possible that, within my lifetime, significant or indefinite life extension could become possible.
But I'd bet that fears about effects on society, as well as the arrayed forces of religious conservatism, will create so much strife on the matter that it'll be denied to people for long enough that I'll die unnecesarily.