The masons and quakers are examples of groups with tolerance that make them compatible with other ideas, mixes, radicalism and a republic. Other groups may coexist in a republic because the republic was designed for compatibility but they are really social conservatives and a super majority of them makes them persecutors instead of persecuted. I.e. people who would impose Sharia law as soon as they got 2/3rds are perfectly fine as a minority in a tolerant republic.