Personally, I wonder if human actions will ultimately result in the earth no longer being hospitable for human life. At our current rate I suspect it will only take about 500 more years before humans make humans extinct.
If an asteroid doesn't hit us, one of the giant volcanos blows it's top, an even stronger virus comes along, we may just kill ourselves from lack of caring and overpopulation. Unless it's a major extinction event (think dinosaurs), chances are some form of humans will continue to screw things up, but most of us will be long gone before we get to a critical stage.
Neanderthal man roamed the earth for 100K years. Were they less evolutionarily advanced than modern man? We have been here for 40,000 years, Will we be here in 60,000 years? I doubt it.
40K?
Most modern humans have about 3% neanderthal DNA.