Final answer:
Most Republicans saw the violence of the French Revolution as necessary to overthrow monarchy, differing from Federalist concerns that it signified dangerous anarchy.
Step-by-step explanation:
When the French Revolution became violent, most Republicans were not perturbed by the escalation and violence. They perceived it as a necessary upheaval to rid France of the monarchial system and its associated evils. Figures like Thomas Jefferson and James Madison viewed the radical changes, including the execution of King Louis XVI during the Reign of Terror, as part of a 'greater cause,' necessary for the establishment of liberty and equality. This contrasted with the Federalist view, which saw the violence as an indication that the revolution had devolved into anarchy, threatening the concept of legitimate revolutionary change and the stability of the American experiment. Despite political divisions, some U.S. citizens expressed support for the French by adorning tricolored ribbons and singing revolutionary songs, indicating the sympathies of the Republican faction during this tumultuous era.