Final answer:
The quote is significant because it addresses the problem of factionalism and proposes two possible solutions: removing its causes or controlling its effects.
Step-by-step explanation:
The quote "There are two methods of curing the mischief of faction" is significant because it addresses the problem of factionalism and proposes two possible solutions. The first method is by removing the causes of faction, which can be done by either destroying individual liberty or by making everyone have the same opinions, passions, and interests. The second method is by controlling the effects of faction, which means finding ways to limit its negative impact without eliminating it entirely.