One is setting some limits. Two, reframing a difficult situation so that they can see options on how to deal with it to get to a positive solution versus frustration or anger over one solution that they may have to deal with the particular situtation. An example might be in an inter-personal relationship with another person, in not knowing how to express a feeling, they might only be able to express anger and they might be scared. Underneath a lot of anger is fear. As adults, if we can help them get to that fear and talk about it, we can reduce greatly the anger a young person is feeling.
Anger protects fear.
Options is everything in life and options for a young person will help them be able to solve many difficult problems. We as adults must offer young people some of those options. How then are we, as adults, address young people with mental issues. The short answer is yes, we can drive them into rebellion. All children will experience what we would call weird behavior sometimes, such as destruptive sleep patterns, dressing different for a period of time.