Berlin's statement, to me, is impossible outside of a highly restrictive setting. Actually creating a culture that fast requires a complete cultural disconnect from any previous cultures.
That's not to say that a high-inertia memetic campaign couldn't cause drastic changes in a culture - just that it would work slowly unless a large scale societal upset (like cheap internet) happens.
Its also not guaranteed to function as well as proponents might think - for an example, the US and Canadian attempts to wipe out indigenous culture. While much was lost, reconstruction and preservation was fairly effective.

The general timeline given by Mav also fits my initial terminology of a generation: my generation is at the forefront of radical divergence from the baseline of our parents, which was (mostly) minimally deviant from the baseline of our grandparents (especially those of us who had grandparents that grew up in the great depression). And what do we see pushing this radical divergence? A high-inertia memetic campaign, pushed grassroots style, spread easily via the internet (which was a high-impact development).