If I were Mayor, I'd make the world a better place by
Tax the extremely wealthy so that there would be enough funds to really and truly help abused women, children, the addicted and homeless. I would personally set up a new system for helping folks one on one.
Change laws to help people who seriously want to start over, enabling them to live in small starter homes or yurts on privately owned land provided by kind hearted citizens who would then receive a tax break and training on how to best serve their fellow humans. After I put an end to the atrocity in Iraq, of course, and bring those wonderful soldiers home to their families, for good.