Your policy positions come from somewhere. Start with the "why" before the conclusion.
If you believe in a higher minimum wage, this might for example come from a mix of ideas about the value of labor, whether markets allow desperate individuals negotiating with monopsonistic employers a fair chance, and how higher wages will impact the economy. If that is the case, start your conversations there. If you start by saying the conclusion such as "I believe in minimum wage" it is often heard as a team identifier, and tends not to lead to as good a conversation. Ideally conversations shouldn't need a conclusion: lay out the groundwork that made you realize what you realized, and let your conversation partner reach the same conclusion.