The Shepherd Psalm does speak against anxiety, worry, and fear. It calls for trust in God. Here’s an example of the wrong kind of faith.
Are you familiar with the Broom Hilda comic strip? Anybody ever seen it?
For an illustration of mindless faith I like the conversation that takes place between Irwin Troll and Gaylord Buzzard. Gaylord is reading the daily paper and observes, "First we have a fuel shortage and now they talk of a possible food shortage!" But Irwin Troll smiles and responds, "That works out perfectly! Before there wasn’t enough gas to get to the store. Now there’ll be no reason to go! Things always work out right when you have faith!"