Does the Bible teach "question authority?" Certainly the Bible teaches to ask questions. 1 Corinthians 14 says that the spirits of the prophets are subject to the prophets. Acts 17 informs that the Bereans searched the Scriptures to see if the things they were taught were legitimate. 1 John 4 tells us to test the spirits to see if they are of God. 1 Thessalonians 5 mandates that we prove all things. However, the Bible doesn't teach the messge of "question authority. Romans 13 says that all authority comes from God and that our responsibility to authority is to submit to it.
"Question authority" is a popular theme in the San Francisco Bay Area where I live. Even some Christian parents would applaud such a message decorating the lobby of a Christian school. They perhaps come from the hippie generation of the 1960s where protesting was an important school activity. With this philosophy so popular, the administration might think this could make their school more popular too. They might attract the crowd who wants a less rebellious school than the public school. Question authority is OK, but harm authority isn't. They want a school where the teachers are only safe from physical rebellion but not verbal rebellion.
If I had my kids in a school where they would need to "question authority," I would look for another school. I don't want my children in a school where I am concerned about the content taught in the classroom. That is why they don't attend the public school. These young people don't have the discernment yet to sift through the teaching for truthfulness. I want to know they will be taught the truth, and if something isn't the truth, I will be the one to correct it. I don't want my children thinking that it is permissible to question authority. I want them to respect their teachers and their parents, because this is the will of God.