Intelligent Design consists of “we don’t think so”. There is no evidence for Intelligent Design. The proponents don’t even attempt to cite any. Check out their many websites.
“Irreducible complexity”? Each time they trot out an alleged example, biologists quickly find a reduced counter-example from both morphology and genetics.

The entire Discovery Institute program is to try to pit church trained common sense feelings against hard won evidence. The primary lesson of 20th century discovery is that common sense is a poor match for how things really work beyond everyday human scale. Atoms and smaller particles don’t behave like billiard balls. Complex systems are inherently unpredictable, yet not truly random. Thermodynamics implies increasing complexity. There is lots of time for things to have happened in a very big universe.

Critical thinking begins in the home. Once a child is of school age, they either have been trained by example to accept what authorities say, or to wonder why authorities say what they do. Schools can only do so much.

For those who just accept ideas on authority, the best known answers need to be clearly taught, especially when it contradicts their innate feelings. For the others, they will examine the other side on their own. It certainly isn’t hidden in our culture.

And one more point: There is more than one “other” side. A quick creation from the mind of a single God is only one of dozens of still remembered creation stories, that all contradict each other in their rich details. But all are equally obsolete in comparison to the simple explanation of natural evolution through application of the known laws of nature.