To address the "there are more important things to do" question, I would like to, at the risk of coming off as an alarmist, state why I think it is actually more important than anything else:
A state's form of government is infinitely more important than the specific policies of a government. This is because a state's policies are DETERMINED by its form of government.
So if we have an undemocratic political set-up that continues to drive voter disillusionment, misrepresentation, low turnout, and polarization, we can be expected to have serious problems in our policies.
So, whether you agree or not, I think that many of America's serious policy problems are deadlock issues. This is what I mean by that. They are either:
1) An issue that is "perfectly" polarized such that without a fairly large majority from one party, there is no change. Many social issues are like this, many environmental issues are like this too. And increasingly, thanks in my opinion partly to the electoral college, EVERY SINGLE issue is like this, because obstructionism pays in system so heavily influenced by a winner-take-all set-up.
2) An issue that is one both parties pay lip service too and never shut up about, but nothing is ever actually done. These are said to be, and often actually are, our largest problems as a nation, but are left unaddressed. Examples are the national debt and foreign oil dependence.
3) An issue that is never or rarely discussed openly by politicians but is well known to experts to be a serious problem. These problems are also often our most serious national problems, but go completely unaddressed. Examples are the poverty driving illegal immigration from Mexico, poverty and malnutrition inside the United States, Latin American foreign policy, demographic aging trends that will strain social support systems, market centralization and uncompetitiveness, gun violence, overuse of domestic resources (notably forests, fisheries, and water), weak education systems (granted there is limited lip service here). Anyway, you get the point.
These all count as "deadlock issues" because there is something that isn't going anywhere anytime soon standing in the way of our politicians fixing these problems, or at least trying to.
Often, very, very often, a major reason that the issue is politically impossible to address is because of the polarized nature of this country. Some things are "politically toxic" and are left untouched. Gun violence is a great example that is clearly linked to the electoral college. Gun violence affects mostly people who live in cities, but the rural voters who live in swing states who are sensitive to gun issues keep it from ever being discussed, thus, more people get shot.
(Keep in mind that in this context, it is not important WHAT solution is used to address these problems, what is important is that NO solutions are being proposed or implemented by our government.)
Much of this, I am arguing, is traceable in part to the electoral college system and the political climate it creates.
Let me connect it to geopolitics and the future of the American state:
Many people for much of the 20th century had already come to see the US as a democracy with a political system that is increasingly out of date. The founders created a limited federal government and in many cases intentionally created stalemates - the famous checks and balances.
And while the general themes of our methods of governance outlined in the constitution have been lauded and emulated everywhere, the specifics are increasingly anachronisms, and more and more, our political system seems to be failing.
The United States is the global hegemon, but when political issues are so deadlocked that nothing is done about our most serious responsibilities, other countries notice. We take a hit. Remember the debt ceiling fiasco? Remember our credit rating scare? These portend the future if nothing is done about our political system.
So contrary to your point that the political system is not relevant to our national problems, I contend that it is the most relevant thing of all, because it affects all the others.
The American government needs serious reform, and every political scientist I've heard say anything about it agrees. The plausibility of such desperately needed reforms is always fatalistically acknowledged to be low. Such is the nature of our gridlocked system.
If we allow ourselves to fall further and further into this deadlock, we will find our credibility eroding worldwide. In my opinion all it will take is one or two serious slip ups when America drops the ball when it was time to lead for us to be downgraded from hegemon to "very great power" or some other such. We may still be #1, but we would no longer be in a class of our own.
These arguments are not something I've come up with on my own but rather something I've increasingly come across. I used to accept the unchangeable realities of much of American politics as facts of life, but that was before I realized that some of the current states of affairs are actually serious threats to the world order and need to be dealt with. Not to mention the self-contained argument that more democracy is better than less.