The word 'incite' means to stir up, stimulate or cause an action or event to occur. This word is used as a verb as opposed to insight, which is a noun. A person or event can incite something to happen. An example of a sentence using incite properly is "The words of the activist were meant to incite the people to speak out on various issues." The activist in this sentence is trying to cause .
something to happen.
The word 'insight' refers to an understanding or idea about something. This is something a person can have as it is a noun. It is not something a person can do. An example of a sentence using insight properly is "After listening to prior speakers, the activist had an insight on how she can make a more powerful speech." In this sentence, the activist got an idea from something.
More Reference Links: http://www.grammar-monster.com/easily_confused/incite_insight.htm http://public.wsu.edu/~brians/errors/insight.html