Why Does the American Form of Government work?

"A common passion or interest will, in almost every case, be felt by a majority of the whole; a communication and concert result from the form of government itself; and there is nothing to check the inducements to sacrifice the weaker party or an obnoxious individual." This passage is from the tenth paper. It basically means that as opposed to every small, obnoxious, or unpopular political party voicing their opinion on a national scale and forcing congress to debate their every issue, most political decisions (aside from some anomalies) made by congress are issues that are important and relevant to most people. Later, the essay states, "It is in vain to say that enlightened statesmen will be able to adjust these clashing interests, and render them all subservient to the public good. Enlightened statesmen will not always be at the helm. Nor, in many cases, can such an adjustment be made at all without taking into view indirect and remote considerations, which will rarely prevail over the immediate interest which one party may find in disregarding the rights of another or the good of the whole." This means that every group has its own agenda they are fighting for, which will always clash with someone else's beliefs. Not every leader will fight for everyone or will lead intelligently, which is why the aforementioned balance of power between political parties and agendas is necessary, as it will limit the damage ineffective leaders cause.
"It is equally evident, that the members of each department should be as little dependent as possible on those of the others, for the emoluments annexed to their offices. Were the executive magistrate, or the judges, not independent of the legislature in this particular, their independence in every other would be merely nominal. But the great security against a gradual concentration of the several powers in the same department, consists in giving to those who administer each department the necessary constitutional means and personal motives to resist encroachments of the others." This passage is from the 51st paper, and explains that each role is such so that it can function without the other departments. Each is independent to create a balance of power between departments and branches of government. This prevents many major conflicts.This point is emphasized later in the same essay: "But the great security against a gradual concentration of the several powers in the same department, consists in giving to those who administer each department the necessary constitutional means and personal motives to resist encroachments of the others." This states that roles in departments are created to ensure a balance of power. This prevents corruption and tyranny.