“They get you while you sleep!”
Yes they do, no matter what version you are watching, however if you choose to watch the 2007 one, you may fall asleep anyhow and it would be for the better if you did. Watching Philip Kaufman’s version of “Invasion of the Body Snatchers” you won’t fall asleep, you cannot. I promise you that much.
For those unfamiliar with the “Body Snatcher” theme, the gist of the matter is that somewhere in outer space there are spores on a devastated planet orbiting a dying sun. The spores are driven by their impulse to survive to leave their doomed planet, drifting through space trying to conquer new planets.