It really shouldn't. It's just meant to inflame. There's no legal basis for postponing an election. As others have pointed out, it'd require acts of congress, and possibly also changes to the constitution. It's pretty silly at this point.
Trump infuriates everyone with bombastic statements, that he often can't even implement legally, that sometimes grab members of his base.
On top of that, other presidents have made crazier statements, but with him they're turned up to 11.
There was talk of "Continuance of Government" with the Bush/Cheney era and fear he'd try to stay in past two terms. Nothing ever happened though. This is pure fluff.
I don't hate Trump or Trump supporters like a lot of people, but he just needs to shut up. He does nothing to calm the America people, he just gives everyone fuel to scream and more than anything, this is a big nothing burger. It's not tech news. It's not even good pol news. I will probably drop off the HN front page in an hour or less.