This is called faith, and as strange as it may sound, in a few decades this kind of faith in the machine will be commonplace, because it will prove its utility over and over and over again, and save mountains of human effort in the process. In 3-7 years we’ll start to see major practical applications from AI-led advances.
As a second-order effect we may even see the rise of an actual religion around AI. I’m not saying these are all positive effects, but it’s what I see happening - and like all technological revolutions there will be a huge number of positive effects alongside some deeply disturbing developments.