Consistency for the sake of consistency with no underlying logical support carries no value when it comes to matters like these. "Liberty" first of all, is not a binary concept. As with everything there are shades of grey and multiple downstream repercussions to every "liberty" granted or taken away. An increase in the liberties of one person can oftentimes result in the decrease of liberties for another.
Liberties, by definition, cannot be granted. They can ONLY be taken away.
You should read up more on natural law. It is possible to orchestrate a system wherein people can do almost anything they want, as long as it doesn't infringe upon the rights of others to do almost anything THEY want. The problem (especially in America) is that when someone finds a certain behavior to be immoral or reprehensible, (s)he feels it is his/her prerogative to prevent this sort of behavior from taking place, by force if necessary. When the majority agrees on these prerogatives, they become laws that take away liberties from the minority.
The assertion that most liberties are tied together so that when you lose some you lose all makes no sense either. To argue that gays' right to marry is somehow connected to minimum wage laws (an issue of a right for businesses to pay as little as the free market will allow them), or that the right to bear arms is somehow connected to our government-run road system (the issue of a right for private entities to set up toll roads instead), shows a lack of logical thought and an overly simplistic perspective very reminiscent of the test in the original post.
Rather, your strawman argument is an oversimplification of the libertarian platform. It is absolutely true that when government takes control of one aspect of our lives, it is easier for that government to take over other aspects as well. The more socialized programs the government introduces (New Deal -> social security -> affirmative action -> medicare -> TARP), the more likely it is to introduce new regulations and leach more autonomy from our fiscal and social freedoms -- regulations that would most likely not even be seen as
necessary were it not for the increasingly socialist climate.
Similarly, Libertarianism and its worship of the free market relies on people being rational actors, which they are not.
Again, the opposite is true. The current system is run by bureaucracy, and bureaucrats are much less rational than consumers. Too much bureaucratic poking and prodding at the economy is exactly why we are where we are. Plus, bureaucrats always have their own interests in mind, and, given too much power, will steer an economy to suit their own agendas. Consumers, on the other hand, are too large a group of people to have much individual effect on an economy. Therefore, what steers a free market is whatever is GOOD for that market -- ie, whatever the consumers, en masse, are willing to shell out money for. If a business goes under, it is either being poorly run or providing a service that people do not want to buy, and it probably
should go under. In our current system, such a business gets artificially propped up by the bureaucracy.