It would promote a broader, more inclusive dialogue, allowing all voices to be heard. Public discussion might be more open and integrated if people were more open about the role of faith. It would be harder to label people, and easier to identify and listen to the content of what they were saying. If religious people did not try to convince others of their ideology but merely gave their perspective, it would be more conducive to dialogue and agreement. It would raise the standard of ethical discourse.
Religion can promote a sense of selflessness in the face of a higher power.
Religion can impart a sense of will, fortitude, and persistence. By making public debate explicit, underlying values will be identified. Expanding the role of religion in public life will build community. It would teach unconditional love. It would teach compassion for both communities and individuals.