The Y2Short problem

I saw Bryan Sykes on Face To Face tonight, talking about his book Adam's Curse and the long-term demise of the Y-chromosome, and I can't really understand what all the fuss is about.

I mean, it's not going to happen for 125,000 years. That's twelve and a half times the length of our entire recorded history. Our species has barely existed for that long. It's a little beyond our planning horizon, don't you think?