Why is libertarianism so infallible?

It is due to it being the application of political science. It does not permit failed policies to be continued fruitlessly year after year with idealistic fervour, it is next to impossible for anyone surrounded by fierce libertarian critics to continue clinging on to lies. It is a purely functional machine, lubricated with justice and fueled by free speech.

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If you have a skill your wages would be much higher
No.  Remember that the consumer-spending driven economy has collapsed because most people spend their small wages on food and a place to live.  Less automation is used because hey, people are cheap, so productivity is down too.  And you've got lots of poor suckers training for your skill hoping to take your job.

The only thing keeping the profits of allocating capital in the hands of a few brokers
Of course, if you've got money you can start a business prety easy.  What's your market?  Well, ignore 50% of the population, they don't have any money anyway.  Why don't you make a luxury good for the wealthy?  With the profits you can buy some apartment buildings and make money from the other 50% too.  Of course, if you don't have money, why should someone lend you some?  There are enough wealthy business people, let them start a business.

NO restrictions on forming trade unions
UNIONISTS?  Anti-free market socialists who want to extort money from your business?  If you even HEAR RUMORS that someone in your shop is suspected of union activity, FIRE HIM RIGHT AWAY.  If your whole shop is unionized, just fire all of them!  Workers aren't scarce.

This seems like a more likely direction than some utopia.  I mean, look at history!  Look at most near-100% free market countries!  The main reason China is doing so well is they are selling stuff to THE AMERICAN MIDDLE CLASS.