Miswak Protection

My teacher has been urging me to buy a miswak and bring it daily to class. He said that even if you don't use it, just having a miswak is a form of protection from harm and gave an example of a guy surviving a car crash unharmed by having a miswak, a stick. I'm confused though, wouldn't this use make it biddah then? Shouldn't Allah alone be your means for protection, not a stick? How is this different from them biddah necklaces people would buy then?