Austrian econ specifically says that value is subjective, there is no prescribed theology or value system. Austrian method of study is praxeology, it's based on deductive logic - actual opposite of faith/religion. If you disagree with any Austrian conclusions, you are free to challenge their logic and provide your own arguments.
Discussion
I suggest you to read these books.
1. Debt by David Graeber; an anthropological study on debt and economic systems through history. In this book the hypothesis on which Austrian economy is built has been criticized.
2. The Great Transformation by Karl Polani;
It's a politacal economy study that criticize the illusion of commidification of nature and human being as labor. It also has many reasonings to prove free market & market society is an utopian idea not a realistic one or as you say logical.
By studying two above you will be ready to see the big picture. It's so vital for us to read the anti-thesis of each idea.
My to-do/to-read list is too long already, but you are welcome to summarize the key idea(s).
But I don't really trust anthropological studies, I feel like they rely on guesswork too much.
Anyway, the argument is clear: #Free #markets do work and we know the theory behind it - economic calculation and distributed decision making. We also see it in practice: That's how you, for example, got a supercomputer in your pocket. It's also the only moral way, because it's voluntary and peaceful. (Any alternative is by definition based on violence.)
That's basically it. Case closed.