I'm going to wager that Chancellor Palpatine and Poohbah are 'spoofing' a position to some end/for some reason ...
It's not a spoof. Chalcedon exists. Their escatology is amillennial and dangerous.
But the purpose here is to smear conservative Christians in the political arena; 99.999999% of whom don't agree with Rushdooney and company. Chalcedon's influence is vastly overrated in these attacks, and is inflated by spin/deception.
If I hadn't watched the extreme vitriol coming from this bunch for months towards conservatives, I would just think their tinfoil hats were wrapped too tight. But it is much worse than that, IMO.