We care about this because Japan is, theoretically, a "perfect" society.
Japan is technologically advanced.
Japan is politically democratic.
Japan is highly educated.
Japan is ideologically homogeneous.
Japan is economically stable.
Japan is the very picture of what a first world country aspires to be, and yet it would seem that Japan, as a country, as a culture, as a nation... has lost the will to live.
Japan is a potential harbinger of what other first-world nations could face in the future, and that's not good. Countries have failed because of war, or famine, or political catastrophe, but for a country to fall apart because the people simply aren't having kids?
It has never happened before in the history of humanity. It is inconceivable.
Ha! Listen. Most "Westerners" that aren't otakus don't give a flying fuck about Japan, and the country itself has made sure things stay that way. Japan is so xenophobic, so obsessed with cultural purity, that it cannot see what is wrong with itself. Even if "Westerners" wanted to help, Japan wouldn't care.
The only time I see Japan mentioned in the news is in regards to companies like Toyota or Sony, and those are so globalized that there is nothing particularly Japanese about them anymore. Japanese culture itself is completely irrelevant politically, and Japan's main contribution to geopolitics is that it hosts US military bases.
And to be totally honest, I don't care if Japan dies. Whenever I see Japan mentioned outside of news media, like on NeoGAF, it is always negative: that Japan is dying, that it's racist, that it's perverted, that it's nationalistic...
I guess Japan would rather die than admit it's wrong. But then, that's Japanese culture.
This is why I like being an American. It's true: we don't have our own language, we don't have many centuries of history to look back on, we are not a nation in the true sense of the word, and we seem crazy and uncivilized to most other countries, but there is a vitality to that. America has people from all over the world and many different cultures, and we are constantly in a flux, free to try any new thing we want. It's shallow, and at times, America seems almost unstable or uncaring due to how nebulous it is, but...
I'd rather be cast adrift, without a real culture or identity and free to define myself than be chained to centuries of ridiculous cultural traditions that has apparently reduced an entire country into something more resembling a giant machine that is slowly winding down than a human civilization. Without adversity there is no point in living.
EDIT: Sorry about the salt, but as someone who grew up in the United States, I dislike seeing people, usually otakus for that matter, constantly defending a country with a culture that is pretty much the exact opposite of everything the immigrant-created "American Dream" culture of the United States represents.