My opinion, go with your own personal point of view. Why are *you* a conservative? Get real, be honest, insightful, and lay it out for them. My own worldview was shaped by a personal recognition that giving people thing does nothing for people. They are taught nothing, build no character, etc. Letting people earn things is much better and gives them self esteem. Fact and figures will convince nobody, never has. I'm a serial internet arguer who's been arguing back and forth on the net since around 2000. Never convinced anyone with facts and figures.
Take guns, you can quote facts and figures on guns all night and day, nobody will ever be convinced, ever. However, explain your own POV, why you like guns and think the 2nd amendment is an important right.