If you believe that movies should entertain, but your friend insists that movies should inspire, then the two of you hold discordant views on the purpose of movies. That means your opinions are in conflict.
You can see the word discord in discordant. Discord is tension felt between people who strongly disagree about something. So discordant describes experiencing discord, a lack of harmony. A discordant conversation at your dinner table may make some people upset — they want everyone to get along. Discordant can also describe harsh and unpleasant sounds, like the blaring horns in city traffic.