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It only needs to be solved if the country is going to survive, so if that doesn’t matter then it doesn’t. There will be knock on results from that, because countries usually fall a grade or two when they fail, and with decreased affluence the number of children will increase again.
The reality is that if you do not have at least a replacement rate, retirement and social safety nets will fail as they become overwhelmed which leads to social unrest and upheaval. Immigration can help, but this comes with its own trade-offs. 8 billion people is also nowhere near an overstressor for the planet if fossil fuels and pollutants can be curbed, and even dropping the numbers of humans substantially will not help with unfettered greed continues to drive dirty industrialization
I don’t think those are inherently opposed, the whole point of libertarianism being about liberty. Power gained through free market principles is no different than any other power, and thus can and should be opposed through competing ideas/services. If I don’t like your service being provided, I or anyone should be free to provide a competing service that matches my needs/values.
Being a libertarian doesn’t require keeping Fountainhead as your Bible and worshipping at the feet of oligarchs instead of politicians/the State, and I would argue selling your soul to the company store is as antithetical to liberty as selling your soul to a centralized State. But as you’ve indirectly mentioned, there is a rather huge spectrum under the libertarian umbrella.
I won’t speak for other libertarians, as I know there are those that think do worship the oligarchy, and many of my views do probably put me on the left side of libertarianism. If I didn’t believe that government has a role is keeping free markets free and providing stability and peace for liberty to exist (most fiscally conservatively paid for by collapsing all social safety nets into an actual UBI requiring miniscule overhead, Universal Healthcare, and more Georgist tax codes), I’d probably be closer to the anarcho-capitalists maybe? Maybe some offshoot or flavor of Minarchist?