Would Catholic moral teachings on issues like abortion and marriage benefit or harm society as a whole?

Political Catholicism only harms society. As the Supreme Court case, there must be a separation of religious beliefs and politics. If you pass laws that make people conform to one ideology, there will be a reaction from the people. If you want to share your religion with others you can do that in your own time to people who seem interested instead of pushing your beliefs onto someone who does not share the same leave of interest as you do.