For the record, I'm a pragmatic libertarian. Believe but do your own math. Math works. Empirically validated functions rule. Philosophy is easy to twist to any whim. That is my philosophy! :-)
Just be careful of bad math that cause you to believe in something that isn't true. Your map does not correspond to the territory and all.
You don't want to be like Paul Samuelson with his economic textbook touting the idea that the Soviet economy will surpass the USA's economy. He didn't understand how they work at all.
The Austrian schools merely derive their economic from deductive logics. So there is a way to disprove them. Just explain their logical mistakes.