That's their problem. It isn't.
People naturally apply skepticism daily. And if you don't, you're just setting yourself up to be taken advantage of. Skepticism simply means using basic critical thinking skills to every day life. Do some due diligence. You don't loan just anyone money. At least not large sums of it that you cannot afford them not repaying.
I am not cynical in the least. I generally have a very positive outlook on life. But I require evidence the more important and unreasonable it is. So do banks, business and bosses. You might get a pass on the evidence from friends and family. But even they will apply skepticism.
Teaching people the basics of skepticism is incredibly important. But you don't have to call it that. Learn logic, syllogisms and fallacies and you're done