I would prefer not to have a President; IMO, one of the strengths of the original proposal is that there isn't one.
The less this system looks like the United States, the more likely it is to fail. IMO... And lack of a President is a pretty glaring omission.
A semi-random thought: It might sound silly, but we shouldn't use words like "Parliament." Can't we just stick with Congress? Even if the proposed system resembles a parliament far more or w/e?
I just worry that new players may see all of these things like "Prime Minister" and "Parliament" and be totally uninterested because they're interested in American government and elections (after all, they're at the
U.S. Election Atlas). Let us not forget the failure of Antilla.