Every representation I've seen of this work was wrong, or so incomplete as to be gravely misleading. As usual, the glib sound-biters omit not only the interesting parts of the points they quote, they omit the real point of the essay.
If anyone reads the second half of this essay, they see that it writes about the widening gap between rich countries and poor - the technologically trained and untrained. Yes, Snow writes about the schism and even mutual suspicion between the communities of liberal arts and hard sciences. That's just a fact, at least as true now as it was 45 years ago. That is not what's interesting.
The consequence is what matters. Overpopulation, mass starvation, and destruction by war or disease are political problems. The solutions must involve tools provided by technology. The tragedy of "the two cultures" is the breakdown between the politicians who must wield the tools and the technologists who must create them. This is not about technology controlling the world, it is about creating a generation of thinkers who can reason about both social and technical problems. It is about education that allows people to examine the physical facts of the physical world that underly so many curable causes of human misery. It is about understanding the technology of possible solutions well enough to weigh the costs and rewards in a rational way.
As I write this, the 2000-era Bush administration is busy firing science advisors who don't give the "right" answer, is cancelling the space research programs that have given the largest volume of new knowledge, and creating new scorched-earth policies for environmental management. It's a problem not just in the US, but worldwide. This is exactly the failure that Snow hoped so fervently that educated men and women would have the wisdom to prevent.