That's twisted
Are you actually trying to imply that it was fabricated by Democrats to make Republicans look bad? That is a very twisted defense, Tom.
The answer to the question "to what good?" is simple: Some calculating RightWing propagandist knew full well that other RightWing extremists would eat it up and swallow it whole, and excrete it on to another RightWinger. "Shoring up the base", "maintaining Party loyalty", "stiffening their resolve", "playing to their fears of Muslims", "playing to their prejudices"...Occam's Razor presents so many simple possibilities.
It was a deliberate act intended to incite hatred. No amount of Latin can obscure that fact.