
We don't have body snatchers right now, and, for what it is worth, we have put in legal protections should the event ever occur. Barring a dystopian state, (probably inevitable should the instance arise), no one can take someone's body without due process. No one can point and screech and have the mob take over from there.
At least that is true if body snatching is considered an assault on civil liberties that are protected by law. I suspect that is the case. Just as there are other actions that require due process. No one can be incarcerated without due process. No one's property can be seized without due process. However, there are harmful actions that can occur outside the constraints of due process, like accusations that do not rise to a threat of harm or to libel. While immune from the requirement of due process, they can destroy one's character and reputation. (Thus the term character assassination.) It can leave the victim unemployable, and set them apart from society.
The pod people had bad intentions from the start, at least from the human's perspective. But sometimes there are things going on that justify some pointing and screeching. Unfortunately, what starts off with noble motives can move into body snatcher mode. And when pointing and screeching is given free rein, that is where things inevitably arrive. With the excesses, the social winds finally turn, and any value, any noble cause, is lost in the process, even met with a backlash.
In a recent post I discussed McCarthyism. This is a good example of how a legitimate concern -- there really were spies tied to the Soviet Union infiltrating the government, intent on subverting our government -- can turn into body snatching. Accusations could be made without support. People could be targeted mistakenly or even for ulterior motives. (And, getting back to the pod people, what if a timid pod person is not body snatching, but is only body touching. Do we pile him in with the full-throttle snatchers?) All with the result that, in so charge an environment, and based on the accusation alone, they were destroyed.