but they don't believe in several aspects which are typical in mainstream economic branches, such as using statistical modeling and mathematics to draw conclusions about economic status or action
To be fair, that doesn't mean they are wrong. Certainly we've seen plenty of cases where people built incredibly complex, elegant and expressive models of economic systems, which turned out to be completely broken.
That said, I know of at least some Austrian economists who think the Austrian school should make some effort to better ground their ideas with mathematical formulations, but I haven't followed things closely enough to know if much, or any, work has actually been done in that regard.