If he had not conspired against France with the Hapsburgs, and let letters proving he was actively participating in the war effort to trap and kill his own citizens (or rather subjects), the representatives would just have kept him under house arrest until the end of the Austrian, Prussian, Spanish, Italian and English aggression (they had no casus belli BTW, maybe the Austrian could justify one, but this was an illegal aggression, I refute the name of first coalition war).
And had he not done it, 'la montagne' would not have taken control of the parlement, Paris' sans culottes would not have been radicalized as much, there would have been less deaths in province. Also, he was one of the investigator of foreign aggression, so less war, less death on the battlefield.
Also, had the pope kept his army in his pants, other Italian and Iberic Nations would have too, and at most the cardinals would have taken an haircut (given the amount they stole, it was only right), and most catholic churches would suffer as much as protestant temple : nothing.
I don't know how you draw parallel between Caesar assassination and Louis XVI lawful execution.
I wonder if this is more of an Europe / USA / Australia / South America thing, or do people in say China / Japan / Korea / Africa / India learn about this too.