But how does one fake the USPS-issued postmark, without a DeLorean and a flux capacitor??
You don't. You fake the seal. You never seal it in the first place. Or you seal it with a paperclip. Or you carefully open the envelope and redo the glue. All of which probably adds up to why there are no cases where someone's successfully won with this method.
Tell that to the family of the late Art Buchwald and ask his heirs about "Coming To America" with Eddie Murphy...
Quoting Wikipedia:
"Buchwald was also known for the Buchwald v. Paramount lawsuit, which he and partner Alain Bernheim filed against Paramount Pictures in 1988 in a controversy over the Eddie Murphy film Coming to America; Buchwald claimed Paramount had stolen his script treatment. He won, was awarded damages, and then accepted a settlement from Paramount. The case was the subject of a 1992 book, Fatal Subtraction: The Inside Story of Buchwald V. Paramount by Pierce O'Donnell and Dennis McDougal."
Just read the article on the case. Paramount optioned a treatment, didn't pick up the option, and then made an ostensibly different movie using an outline remarkably similar to the treatment. That's more than a story idea, that hits original work of authorship territory.
The line when it comes to ideas is somewhat fuzzy, but for example, one could potentially write a story about a wizard, a member of a wizard council which is at war with vampires, without necessarily infringing on JB's intellectual property. Or a story about a wizard-PI. Two authors can write completely different stories based on the same ideas. That's why section 102b of the Copyright Act says, "In no case does copyright protection for an original work of authorship extend to any idea..." Of course, there's protection once you get beyond the idea stage. And depending on the sum of the work, how many other ideas in the work are similar, how many new ideas there are, how many other similarities there are between characters and situations, with the structure of the story, the second author could run into trouble.