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executive orders can decide what the law means
You should tell the SCOTUS that. They overturned 55% of Obama executive directives that reached them, and his administration had the most overturned unanimously (yes, even Ginsberg and Sotomayor) of any Presidency.>>Also, the U.S. Constitution's requirement that State governments be (small-r) republican
There is no such requirement
Dude. This is literally in Article IV:"The United States shall guarantee to every State in this Union a Republican Form of Government, ..."