What if the Founding Fathers bowed to the inevitability of political parties, and designed the President to have a foil?
Say the largest party that does not control the Presidency gets to select from their House and Senate ranks a Speaker of Congress, who is akin to the leader of the Loyal Opposition in a Parliamentary system.
The President is therefore forced to answer to Congress once a week or month or something, where he is questioned by the Speaker.
Does this work? Possible?