Because the Torah says so

Thee are eleven ingredients of the incense in the holy Temple. The teaching that lists them mentions at the end that if they would had added a drop of honey, no one could resist [it would be so inspiring]. So why did they not add any honey?  כל שאור וכל דבש לא תקטירו No leaven nor any honey shalt you offer to the Lord your God.

This explains the simple path of the Gra. The Litvak yeshivot do not add nor subtract from the Torah because the Torah says so.  [And in fact that is actually a verse in Deuteronomy: Thou shalt not add nor subtract from the Law.]

Two Treaties of Government

To understand the situation in the USA I think the best idea is to learn the Two Treaties of Government of John Locke plus the Declaration of Independence. There you see even though the USA is a republic  (not direct democracy), still it is based on fair elections. Since there was doubt about the validity of the count of the Dominion machines, the election should not have been certified.

[The Two Treaties is all about: when is it moral to rebel against the government?]

Just to be clear: I hold from the Two Treaties and the Constitution of the USA because they are the best in coming to peace of the state which is one f the major goals of Torah. On a small scale a Litvak yeshiva tends to be the best in creating a decent group based on objective morality. But on a larger scale the model based on the American Constitution brings the best results of creating a just society. --I mean to say that how to create such a thig has been a subject of debate ever since Plato wrote the Republic. But his answers seem lacking. Nor do any intellectual answers since then get any better results. The odd fact is the model based on Medieval England (Parliament, the Magna Carta, etc which got translated into the American system  get the best results in terms of a just society.) Kings on occasion were okay but often they were not.