Witnesses may be wrong, but if approximately 100 witnesses describe the same thing, then unless you believe there has been some collusion or influence among them, this makes for fairly strong evidence. Otherwise, the only way so many witnesses could have been "wrong" in the same way, is due to a shared, and incorrect, interpretation of what they saw.
But they don't. Some accounts have the missile coming from land, others from the sea. Some describe a red flame, others describe a yellow flame, still others a white flame. Some witnesses say it rose heading east, some say west, some say it headed north. You have a dozen different accounts of what happened.