I have generally been an opponent of a parliament system but look forwarding to hearing the arguments that are laid out. Is your goal to have them implemented nationally or would you first try to institute it in one region and see how it works there?
Fremont has had a parliamentary system (albeit with a directly-elected prime minister, ala 1990s Israel) for almost two years now—presumably that should be the starting point for any conversation about introducing parliamentary democracy on the national scale.